401957980800 has 384 divisors, whose sum is σ = 1395529728000. Its totient is φ = 101408993280.

The previous prime is 401957980789. The next prime is 401957980811. The reversal of 401957980800 is 8089759104.

It is an interprime number because it is at equal distance from previous prime (401957980789) and next prime (401957980811).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×401957980800³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233288739 + ... + 233290461.

It is an arithmetic number, because the mean of its divisors is an integer number (3634192000).

Almost surely, 2^401957980800 is an apocalyptic number.

401957980800 is a gapful number since it is divisible by the number (40) 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 401957980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697764864000).

401957980800 is an abundant number, since it is smaller than the sum of its proper divisors (993571747200).

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

401957980800 is a wasteful number, since it uses less digits than its factorization.

401957980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 401957980800 in words is "four hundred one billion, nine hundred fifty-seven million, nine hundred eighty thousand, eight hundred".