401518328400 has 2880 divisors, whose sum is σ = 1940420448000. Its totient is φ = 79009136640.

The previous prime is 401518328399. The next prime is 401518328411. The reversal of 401518328400 is 4823815104.

401518328400 is a `hidden beast` number, since 4 + 0 + 151 + 83 + 28 + 400 = 666.

It is a super-2 number, since 2×401518328400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13845459586 + ... + 13845459614.

It is an arithmetic number, because the mean of its divisors is an integer number (673757100).

Almost surely, 2^401518328400 is an apocalyptic number.

401518328400 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 401518328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970210224000).

401518328400 is an abundant number, since it is smaller than the sum of its proper divisors (1538902119600).

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

401518328400 is a wasteful number, since it uses less digits than its factorization.

401518328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 401518328400 in words is "four hundred one billion, five hundred eighteen million, three hundred twenty-eight thousand, four hundred".