402855616800 has 3456 divisors, whose sum is σ = 2034769766400. Its totient is φ = 75873853440.

The previous prime is 402855616771. The next prime is 402855616811. The reversal of 402855616800 is 8616558204.

402855616800 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 5 + 561 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6012770367 + ... + 6012770433.

It is an arithmetic number, because the mean of its divisors is an integer number (588764400).

Almost surely, 2^402855616800 is an apocalyptic number.

402855616800 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 402855616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017384883200).

402855616800 is an abundant number, since it is smaller than the sum of its proper divisors (1631914149600).

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

402855616800 is a wasteful number, since it uses less digits than its factorization.

402855616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 402855616800 in words is "four hundred two billion, eight hundred fifty-five million, six hundred sixteen thousand, eight hundred".