41524925904 has 480 divisors, whose sum is σ = 155432908800. Its totient is φ = 10022538240.

The previous prime is 41524925863. The next prime is 41524925929. The reversal of 41524925904 is 40952942514.

41524925904 is a `hidden beast` number, since 4 + 1 + 52 + 4 + 9 + 2 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41524925904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11163757 + ... + 11167475.

It is an arithmetic number, because the mean of its divisors is an integer number (323818560).

Almost surely, 2^41524925904 is an apocalyptic number.

41524925904 is a gapful number since it is divisible by the number (44) 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 41524925904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77716454400).

41524925904 is an abundant number, since it is smaller than the sum of its proper divisors (113907982896).

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

41524925904 is a wasteful number, since it uses less digits than its factorization.

41524925904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 41524925904 in words is "forty-one billion, five hundred twenty-four million, nine hundred twenty-five thousand, nine hundred four".