21514313318400 has 2880 divisors, whose sum is σ = 94674967080960. Its totient is φ = 4746997923840.

The previous prime is 21514313318383. The next prime is 21514313318411. The reversal of 21514313318400 is 481331341512.

21514313318400 is a `hidden beast` number, since 2 + 1 + 514 + 3 + 133 + 1 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294716620764 + ... + 294716620836.

Almost surely, 2^{21514313318400} is an apocalyptic number.

21514313318400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21514313318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47337483540480).

21514313318400 is an abundant number, since it is smaller than the sum of its proper divisors (73160653762560).

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

21514313318400 is an frugal number, since it uses more digits than its factorization.

21514313318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 21514313318400 its reverse (481331341512), we get a palindrome (21995644659912).

The spelling of 21514313318400 in words is "twenty-one trillion, five hundred fourteen billion, three hundred thirteen million, three hundred eighteen thousand, four hundred".