402472391904 has 864 divisors, whose sum is σ = 1380199661568. Its totient is φ = 110170368000.

The previous prime is 402472391899. The next prime is 402472391921. The reversal of 402472391904 is 409193274204.

402472391904 is a `hidden beast` number, since 4 + 0 + 2 + 472 + 3 + 91 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 402472391904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3169073889 + ... + 3169074015.

It is an arithmetic number, because the mean of its divisors is an integer number (1597453312).

Almost surely, 2^402472391904 is an apocalyptic number.

402472391904 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 402472391904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690099830784).

402472391904 is an abundant number, since it is smaller than the sum of its proper divisors (977727269664).

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

402472391904 is a wasteful number, since it uses less digits than its factorization.

402472391904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 402472391904 in words is "four hundred two billion, four hundred seventy-two million, three hundred ninety-one thousand, nine hundred four".