21339366400 has 297 divisors, whose sum is σ = 58850592913. Its totient is φ = 7666278400.

The previous prime is 21339366383. The next prime is 21339366401. The reversal of 21339366400 is 466393312.

The square root of 21339366400 is 146080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7682171904 + 13657194496 = 87648^2 + 116864^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21339366400.

It is not an unprimeable number, because it can be changed into a prime (21339366401) 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 26 ways as a sum of consecutive naturals, for example, 257100759 + ... + 257100841.

Almost surely, 2^21339366400 is an apocalyptic number.

21339366400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21339366400 is the 146080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21339366400

21339366400 is an abundant number, since it is smaller than the sum of its proper divisors (37511226513).

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

21339366400 is an equidigital number, since it uses as much as digits as its factorization.

21339366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 21339366400 in words is "twenty-one billion, three hundred thirty-nine million, three hundred sixty-six thousand, four hundred".