21312411144400 has 30 divisors (see below), whose sum is σ = 51203067775382. Its totient is φ = 8524964457600.

The previous prime is 21312411144371. The next prime is 21312411144457. The reversal of 21312411144400 is 444111421312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1030322442304 + 20282088702096 = 1015048^2 + 4503564^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26640513531 + ... + 26640514330.

Almost surely, 2^{21312411144400} is an apocalyptic number.

21312411144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312411144400 is an abundant number, since it is smaller than the sum of its proper divisors (29890656630982).

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

21312411144400 is a wasteful number, since it uses less digits than its factorization.

21312411144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53281027879 (or 53281027868 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 21312411144400 its reverse (444111421312), we get a palindrome (21756522565712).

The spelling of 21312411144400 in words is "twenty-one trillion, three hundred twelve billion, four hundred eleven million, one hundred forty-four thousand, four hundred".