42641640 has 192 divisors, whose sum is σ = 148599360. Its totient is φ = 10990080.

The previous prime is 42641639. The next prime is 42641659. The reversal of 42641640 is 4614624.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 398467 + ... + 398573.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^42641640 is an apocalyptic number.

42641640 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 42641640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

42641640 is an abundant number, since it is smaller than the sum of its proper divisors (105957720).

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

42641640 is a wasteful number, since it uses less digits than its factorization.

42641640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42641640 is about 6530.0566613162. The cubic root of 42641640 is about 349.3638512598.

The spelling of 42641640 in words is "forty-two million, six hundred forty-one thousand, six hundred forty".