402985691136 has 768 divisors, whose sum is σ = 1422150912000. Its totient is φ = 110361968640.

The previous prime is 402985691111. The next prime is 402985691159. The reversal of 402985691136 is 631196589204.

402985691136 is a `hidden beast` number, since 40 + 2 + 9 + 8 + 569 + 1 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063286595 + ... + 1063286973.

It is an arithmetic number, because the mean of its divisors is an integer number (1851759000).

Almost surely, 2^402985691136 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 402985691136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711075456000).

402985691136 is an abundant number, since it is smaller than the sum of its proper divisors (1019165220864).

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

402985691136 is a wasteful number, since it uses less digits than its factorization.

402985691136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 402985691136 in words is "four hundred two billion, nine hundred eighty-five million, six hundred ninety-one thousand, one hundred thirty-six".