401327251200 has 324 divisors, whose sum is σ = 1459167102120. Its totient is φ = 105205800960.

The previous prime is 401327251163. The next prime is 401327251249. The reversal of 401327251200 is 2152723104.

401327251200 is a `hidden beast` number, since 401 + 3 + 2 + 7 + 2 + 51 + 200 = 666.

It is a super-2 number, since 2×401327251200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3339354 + ... + 3457446.

Almost surely, 2^401327251200 is an apocalyptic number.

401327251200 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 401327251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729583551060).

401327251200 is an abundant number, since it is smaller than the sum of its proper divisors (1057839850920).

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

401327251200 is a wasteful number, since it uses less digits than its factorization.

401327251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118184 (or 118162 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 401327251200 its reverse (2152723104), we get a palindrome (403479974304).

The spelling of 401327251200 in words is "four hundred one billion, three hundred twenty-seven million, two hundred fifty-one thousand, two hundred".