401569430400 has 432 divisors, whose sum is σ = 1522169156040. Its totient is φ = 100783964160.

The previous prime is 401569430399. The next prime is 401569430407. The reversal of 401569430400 is 4034965104.

It is a super-2 number, since 2×401569430400² (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 not an unprimeable number, because it can be changed into a prime (401569430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8299077 + ... + 8347323.

Almost surely, 2^401569430400 is an apocalyptic number.

401569430400 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 401569430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761084578020).

401569430400 is an abundant number, since it is smaller than the sum of its proper divisors (1120599725640).

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

401569430400 is a wasteful number, since it uses less digits than its factorization.

401569430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48311 (or 48274 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 401569430400 in words is "four hundred one billion, five hundred sixty-nine million, four hundred thirty thousand, four hundred".