21364842830400 has 1008 divisors, whose sum is σ = 81687926072640. Its totient is φ = 5430509568000.

The previous prime is 21364842830393. The next prime is 21364842830449. The reversal of 21364842830400 is 403824846312.

It is a happy number.

21364842830400 is a `hidden beast` number, since 2 + 1 + 364 + 8 + 4 + 283 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2781514560 + ... + 2781522240.

Almost surely, 2^{21364842830400} is an apocalyptic number.

21364842830400 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 21364842830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40843963036320).

21364842830400 is an abundant number, since it is smaller than the sum of its proper divisors (60323083242240).

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

21364842830400 is a wasteful number, since it uses less digits than its factorization.

21364842830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7841 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 21364842830400 in words is "twenty-one trillion, three hundred sixty-four billion, eight hundred forty-two million, eight hundred thirty thousand, four hundred".