397943652556800 has 2688 divisors, whose sum is σ = 1774867429785600. Its totient is φ = 85330451496960.

The previous prime is 397943652556799. The next prime is 397943652556823. The reversal of 397943652556800 is 8655256349793.

397943652556800 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 4 + 3 + 6 + 52 + 5 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×397943652556800² (a number of 30 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 252022578411 + ... + 252022579989.

Almost surely, 2^{397943652556800} is an apocalyptic number.

397943652556800 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 397943652556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887433714892800).

397943652556800 is an abundant number, since it is smaller than the sum of its proper divisors (1376923777228800).

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

397943652556800 is a wasteful number, since it uses less digits than its factorization.

397943652556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 397943652556800 in words is "three hundred ninety-seven trillion, nine hundred forty-three billion, six hundred fifty-two million, five hundred fifty-six thousand, eight hundred".