396687944160 has 384 divisors, whose sum is σ = 1450225244160. Its totient is φ = 101082820608.

The previous prime is 396687944129. The next prime is 396687944197. The reversal of 396687944160 is 61449786693.

396687944160 is a `hidden beast` number, since 3 + 9 + 6 + 68 + 79 + 441 + 60 = 666.

It is a super-2 number, since 2×396687944160² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190074637 + ... + 190076723.

It is an arithmetic number, because the mean of its divisors is an integer number (3776628240).

Almost surely, 2^396687944160 is an apocalyptic number.

396687944160 is a gapful number since it is divisible by the number (30) 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 396687944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725112622080).

396687944160 is an abundant number, since it is smaller than the sum of its proper divisors (1053537300000).

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

396687944160 is a wasteful number, since it uses less digits than its factorization.

396687944160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 396687944160 in words is "three hundred ninety-six billion, six hundred eighty-seven million, nine hundred forty-four thousand, one hundred sixty".