21331114400 has 72 divisors (see below), whose sum is σ = 52928385804. Its totient is φ = 8392550400.

The previous prime is 21331114397. The next prime is 21331114451. The reversal of 21331114400 is 441113312.

It can be written as a sum of positive squares in 6 ways, for example, as 53640976 + 21277473424 = 7324^2 + 145868^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169757 + ... + 267356.

Almost surely, 2^21331114400 is an apocalyptic number.

21331114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331114400 is an abundant number, since it is smaller than the sum of its proper divisors (31597271404).

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

21331114400 is a wasteful number, since it uses less digits than its factorization.

21331114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437194 (or 437181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21331114400 its reverse (441113312), we get a palindrome (21772227712).

The spelling of 21331114400 in words is "twenty-one billion, three hundred thirty-one million, one hundred fourteen thousand, four hundred".