21314608400 has 30 divisors (see below), whose sum is σ = 51208347642. Its totient is φ = 8525843200.

The previous prime is 21314608303. The next prime is 21314608421. The reversal of 21314608400 is 480641312.

It can be written as a sum of positive squares in 3 ways, for example, as 6399360016 + 14915248384 = 79996^2 + 122128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26642861 + ... + 26643660.

Almost surely, 2^21314608400 is an apocalyptic number.

21314608400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314608400 is an abundant number, since it is smaller than the sum of its proper divisors (29893739242).

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

21314608400 is a wasteful number, since it uses less digits than its factorization.

21314608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53286539 (or 53286528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 21314608400 in words is "twenty-one billion, three hundred fourteen million, six hundred eight thousand, four hundred".