21307334400 has 324 divisors, whose sum is σ = 83106321480. Its totient is φ = 5165260800.

The previous prime is 21307334383. The next prime is 21307334423. The reversal of 21307334400 is 443370312.

21307334400 is a `hidden beast` number, since 21 + 307 + 334 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 616786 + ... + 650414.

Almost surely, 2^21307334400 is an apocalyptic number.

21307334400 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 21307334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41553160740).

21307334400 is an abundant number, since it is smaller than the sum of its proper divisors (61798987080).

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

21307334400 is a wasteful number, since it uses less digits than its factorization.

21307334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33672 (or 33650 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 21307334400 in words is "twenty-one billion, three hundred seven million, three hundred thirty-four thousand, four hundred".