401537874931200 has 7680 divisors, whose sum is σ = 1917271572480000. Its totient is φ = 82959593472000.

The previous prime is 401537874931163. The next prime is 401537874931243. The reversal of 401537874931200 is 2139478735104.

401537874931200 is a `hidden beast` number, since 4 + 0 + 1 + 53 + 7 + 87 + 493 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×401537874931200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5655463027165 + ... + 5655463027235.

It is an arithmetic number, because the mean of its divisors is an integer number (249644736000).

Almost surely, 2^{401537874931200} is an apocalyptic number.

401537874931200 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 401537874931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958635786240000).

401537874931200 is an abundant number, since it is smaller than the sum of its proper divisors (1515733697548800).

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

401537874931200 is an frugal number, since it uses more digits than its factorization.

401537874931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 401537874931200 in words is "four hundred one trillion, five hundred thirty-seven billion, eight hundred seventy-four million, nine hundred thirty-one thousand, two hundred".