21331358400 has 672 divisors, whose sum is σ = 80140942080. Its totient is φ = 4921344000.

The previous prime is 21331358393. The next prime is 21331358417. The reversal of 21331358400 is 485313312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119169511 + ... + 119169689.

Almost surely, 2^21331358400 is an apocalyptic number.

21331358400 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 21331358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40070471040).

21331358400 is an abundant number, since it is smaller than the sum of its proper divisors (58809583680).

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

21331358400 is a wasteful number, since it uses less digits than its factorization.

21331358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 21331358400 in words is "twenty-one billion, three hundred thirty-one million, three hundred fifty-eight thousand, four hundred".