21140551220400 has 360 divisors, whose sum is σ = 75375681967040. Its totient is φ = 5482983260160.

The previous prime is 21140551220297. The next prime is 21140551220419. The reversal of 21140551220400 is 402215504112.

It is a happy number.

21140551220400 is a `hidden beast` number, since 2 + 1 + 1 + 405 + 51 + 2 + 204 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 358145289 + ... + 358204311.

Almost surely, 2^{21140551220400} is an apocalyptic number.

21140551220400 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 21140551220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37687840983520).

21140551220400 is an abundant number, since it is smaller than the sum of its proper divisors (54235130746640).

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

21140551220400 is a wasteful number, since it uses less digits than its factorization.

21140551220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61773 (or 61759 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 21140551220400 its reverse (402215504112), we get a palindrome (21542766724512).

The spelling of 21140551220400 in words is "twenty-one trillion, one hundred forty billion, five hundred fifty-one million, two hundred twenty thousand, four hundred".