396052024658400 has 2592 divisors, whose sum is σ = 1593558749712384. Its totient is φ = 91762771968000.

The previous prime is 396052024658383. The next prime is 396052024658467. The reversal of 396052024658400 is 4856420250693.

396052024658400 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 52 + 0 + 2 + 4 + 6 + 584 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3118519879137 + ... + 3118519879263.

It is an arithmetic number, because the mean of its divisors is an integer number (614798900352).

Almost surely, 2^{396052024658400} is an apocalyptic number.

396052024658400 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 396052024658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796779374856192).

396052024658400 is an abundant number, since it is smaller than the sum of its proper divisors (1197506725053984).

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

396052024658400 is a wasteful number, since it uses less digits than its factorization.

396052024658400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 396052024658400 in words is "three hundred ninety-six trillion, fifty-two billion, twenty-four million, six hundred fifty-eight thousand, four hundred".