402556424655204 has 192 divisors, whose sum is σ = 1056744081792000. Its totient is φ = 132511002624000.

The previous prime is 402556424655191. The next prime is 402556424655233.

402556424655204 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 5 + 6 + 42 + 46 + 552 + 0 + 4 = 666.

402556424655204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14335530444 + ... + 14335558524.

It is an arithmetic number, because the mean of its divisors is an integer number (5503875426000).

Almost surely, 2^{402556424655204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402556424655204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528372040896000).

402556424655204 is an abundant number, since it is smaller than the sum of its proper divisors (654187657136796).

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

402556424655204 is a wasteful number, since it uses less digits than its factorization.

402556424655204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31571 (or 31563 counting only the distinct ones).

The product of its (nonzero) digits is 46080000, while the sum is 54.

The spelling of 402556424655204 in words is "four hundred two trillion, five hundred fifty-six billion, four hundred twenty-four million, six hundred fifty-five thousand, two hundred four".