421313520400 has 60 divisors (see below), whose sum is σ = 1012541509044. Its totient is φ = 168469504000.

The previous prime is 421313520391. The next prime is 421313520401. The reversal of 421313520400 is 4025313124.

It can be written as a sum of positive squares in 6 ways, for example, as 27486987264 + 393826533136 = 165792^2 + 627556^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (421313520401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1043220 + ... + 1389580.

Almost surely, 2^421313520400 is an apocalyptic number.

421313520400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421313520400 is an abundant number, since it is smaller than the sum of its proper divisors (591227988644).

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

421313520400 is a wasteful number, since it uses less digits than its factorization.

421313520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349420 (or 349409 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 421313520400 its reverse (4025313124), we get a palindrome (425338833524).

The spelling of 421313520400 in words is "four hundred twenty-one billion, three hundred thirteen million, five hundred twenty thousand, four hundred".