396457282590336 has 192 divisors, whose sum is σ = 1246382727726240. Its totient is φ = 119962669516800.

The previous prime is 396457282590329. The next prime is 396457282590349. The reversal of 396457282590336 is 633095282754693.

396457282590336 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 5 + 7 + 28 + 2 + 590 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14248455 + ... + 31558406.

Almost surely, 2^{396457282590336} is an apocalyptic number.

396457282590336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

396457282590336 is an abundant number, since it is smaller than the sum of its proper divisors (849925445135904).

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

396457282590336 is a wasteful number, since it uses less digits than its factorization.

396457282590336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45807575 (or 45807560 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 72.

The spelling of 396457282590336 in words is "three hundred ninety-six trillion, four hundred fifty-seven billion, two hundred eighty-two million, five hundred ninety thousand, three hundred thirty-six".