402610316625 has 192 divisors, whose sum is σ = 839755537920. Its totient is φ = 183648960000.

The previous prime is 402610316587. The next prime is 402610316687. The reversal of 402610316625 is 526613016204.

402610316625 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 10 + 3 + 16 + 625 = 666.

It is not a de Polignac number, because 402610316625 - 2¹⁵ = 402610283857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 402610316625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17350531 + ... + 17373719.

It is an arithmetic number, because the mean of its divisors is an integer number (4373726760).

Almost surely, 2^402610316625 is an apocalyptic number.

402610316625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

402610316625 is an abundant number, since it is smaller than the sum of its proper divisors (437145221295).

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

402610316625 is a wasteful number, since it uses less digits than its factorization.

402610316625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23305 (or 23292 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 402610316625 in words is "four hundred two billion, six hundred ten million, three hundred sixteen thousand, six hundred twenty-five".