397961596800 has 768 divisors, whose sum is σ = 1544320800000. Its totient is φ = 99801538560.

The previous prime is 397961596787. The next prime is 397961596847. The reversal of 397961596800 is 8695169793.

397961596800 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 615 + 9 + 6 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244597587 + ... + 244599213.

It is an arithmetic number, because the mean of its divisors is an integer number (2010834375).

Almost surely, 2^397961596800 is an apocalyptic number.

397961596800 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 397961596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772160400000).

397961596800 is an abundant number, since it is smaller than the sum of its proper divisors (1146359203200).

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

397961596800 is a wasteful number, since it uses less digits than its factorization.

397961596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 397961596800 in words is "three hundred ninety-seven billion, nine hundred sixty-one million, five hundred ninety-six thousand, eight hundred".