42240000 has 240 divisors, whose sum is σ = 153513360. Its totient is φ = 10240000.

The previous prime is 42239971. The next prime is 42240013. The reversal of 42240000 is 4224.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839995 + ... + 3840005.

It is an arithmetic number, because the mean of its divisors is an integer number (639639).

Almost surely, 2^42240000 is an apocalyptic number.

42240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76756680).

42240000 is an abundant number, since it is smaller than the sum of its proper divisors (111273360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42240000 is an equidigital number, since it uses as much as digits as its factorization.

42240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42240000 is about 6499.2307237088. The cubic root of 42240000 is about 348.2635076469.

Adding to 42240000 its reverse (4224), we get a palindrome (42244224).

Multiplying 42240000 by its reverse (4224), we get a square (178421760000 = 422400²).

42240000 divided by its reverse (4224) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 42 and 240000, that added together give a palindrome (240042).

The spelling of 42240000 in words is "forty-two million, two hundred forty thousand".