40152120 has 64 divisors (see below), whose sum is σ = 123409440. Its totient is φ = 10444800.

The previous prime is 40152107. The next prime is 40152121. The reversal of 40152120 is 2125104.

It is a super-2 number, since 2×40152120² = 3224385480988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40152120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40152121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840 + ... + 9000.

Almost surely, 2^40152120 is an apocalyptic number.

40152120 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 40152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61704720).

40152120 is an abundant number, since it is smaller than the sum of its proper divisors (83257320).

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

40152120 is a wasteful number, since it uses less digits than its factorization.

40152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 40152120 is about 6336.5700501139. The cubic root of 40152120 is about 342.4281768162.

Adding to 40152120 its reverse (2125104), we get a palindrome (42277224).

The spelling of 40152120 in words is "forty million, one hundred fifty-two thousand, one hundred twenty".