401789984400 has 540 divisors, whose sum is σ = 1626225053700. Its totient is φ = 91596718080.

The previous prime is 401789984317. The next prime is 401789984417. The reversal of 401789984400 is 4489987104.

401789984400 is a `hidden beast` number, since 4 + 0 + 1 + 78 + 99 + 84 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2027160576 + 399762823824 = 45024^2 + 632268^2 .

It is a super-2 number, since 2×401789984400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72144816 + ... + 72150384.

Almost surely, 2^401789984400 is an apocalyptic number.

401789984400 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 401789984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813112526850).

401789984400 is an abundant number, since it is smaller than the sum of its proper divisors (1224435069300).

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

401789984400 is a wasteful number, since it uses less digits than its factorization.

401789984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 401789984400 in words is "four hundred one billion, seven hundred eighty-nine million, nine hundred eighty-four thousand, four hundred".