402501802914432 has 2048 divisors, whose sum is σ = 1418443613798400. Its totient is φ = 112717014220800.

The previous prime is 402501802914359. The next prime is 402501802914451. The reversal of 402501802914432 is 234419208105204.

402501802914432 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 0 + 180 + 29 + 1 + 443 + 2 = 666.

It is a super-2 number, since 2×402501802914432² (a number of 30 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 158278332553 + ... + 158278335095.

It is an arithmetic number, because the mean of its divisors is an integer number (692599420800).

Almost surely, 2^{402501802914432} 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 402501802914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709221806899200).

402501802914432 is an abundant number, since it is smaller than the sum of its proper divisors (1015941810883968).

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

402501802914432 is a wasteful number, since it uses less digits than its factorization.

402501802914432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 402501802914432 in words is "four hundred two trillion, five hundred one billion, eight hundred two million, nine hundred fourteen thousand, four hundred thirty-two".