402654792640032 has 144 divisors (see below), whose sum is σ = 1194854340476160. Its totient is φ = 128380537460736.

The previous prime is 402654792640021. The next prime is 402654792640039. The reversal of 402654792640032 is 230046297456204.

402654792640032 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 547 + 9 + 2 + 64 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×402654792640032² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402654792640039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421451769 + ... + 422406087.

It is an arithmetic number, because the mean of its divisors is an integer number (8297599586640).

Almost surely, 2^{402654792640032} is an apocalyptic number.

It is an amenable number.

402654792640032 is an abundant number, since it is smaller than the sum of its proper divisors (792199547836128).

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

402654792640032 is a wasteful number, since it uses less digits than its factorization.

402654792640032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018055 (or 1018044 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 402654792640032 in words is "four hundred two trillion, six hundred fifty-four billion, seven hundred ninety-two million, six hundred forty thousand, thirty-two".