396312168960000 has 1040 divisors, whose sum is σ = 1469425060963200. Its totient is φ = 105521135616000.

The previous prime is 396312168959963. The next prime is 396312168960011. The reversal of 396312168960000 is 69861213693.

396312168960000 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 1 + 21 + 6 + 8 + 9 + 600 + 0 + 0 = 666.

It is a super-3 number, since 3×396312168960000³ (a number of 45 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 49006075957 + ... + 49006084043.

Almost surely, 2^{396312168960000} is an apocalyptic number.

396312168960000 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 396312168960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734712530481600).

396312168960000 is an abundant number, since it is smaller than the sum of its proper divisors (1073112892003200).

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

396312168960000 is an frugal number, since it uses more digits than its factorization.

396312168960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 396312168960000 in words is "three hundred ninety-six trillion, three hundred twelve billion, one hundred sixty-eight million, nine hundred sixty thousand".