21002314400 has 36 divisors (see below), whose sum is σ = 51271901982. Its totient is φ = 8400925440.

The previous prime is 21002314387. The next prime is 21002314409. The reversal of 21002314400 is 441320012.

It can be written as a sum of positive squares in 3 ways, for example, as 10665932176 + 10336382224 = 103276^2 + 101668^2 .

It is not an unprimeable number, because it can be changed into a prime (21002314409) by changing a digit.

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, 13125647 + ... + 13127246.

Almost surely, 2^21002314400 is an apocalyptic number.

21002314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002314400 is an abundant number, since it is smaller than the sum of its proper divisors (30269587582).

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

21002314400 is a wasteful number, since it uses less digits than its factorization.

21002314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26252913 (or 26252900 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 21002314400 its reverse (441320012), we get a palindrome (21443634412).

The spelling of 21002314400 in words is "twenty-one billion, two million, three hundred fourteen thousand, four hundred".