396406763999136 has 288 divisors, whose sum is σ = 1287935475817536. Its totient is φ = 118933920000000.

The previous prime is 396406763999107. The next prime is 396406763999143. The reversal of 396406763999136 is 631999367604693.

396406763999136 is a `hidden beast` number, since 3 + 9 + 6 + 40 + 6 + 76 + 399 + 91 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×396406763999136² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 47 ways as a sum of consecutive naturals, for example, 14303365 + ... + 31581636.

It is an arithmetic number, because the mean of its divisors is an integer number (4471998179922).

Almost surely, 2^{396406763999136} is an apocalyptic number.

396406763999136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

396406763999136 is an abundant number, since it is smaller than the sum of its proper divisors (891528711818400).

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

396406763999136 is a wasteful number, since it uses less digits than its factorization.

396406763999136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45885138 (or 45885118 counting only the distinct ones).

The product of its (nonzero) digits is 6428310336, while the sum is 81.

The spelling of 396406763999136 in words is "three hundred ninety-six trillion, four hundred six billion, seven hundred sixty-three million, nine hundred ninety-nine thousand, one hundred thirty-six".