21433724400 has 120 divisors (see below), whose sum is σ = 74901170304. Its totient is φ = 5196051200.

The previous prime is 21433724387. The next prime is 21433724443. The reversal of 21433724400 is 442733412.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798684 + ... + 825083.

Almost surely, 2^21433724400 is an apocalyptic number.

21433724400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21433724400 is an abundant number, since it is smaller than the sum of its proper divisors (53467445904).

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

21433724400 is a wasteful number, since it uses less digits than its factorization.

21433724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623799 (or 1623788 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 21433724400 in words is "twenty-one billion, four hundred thirty-three million, seven hundred twenty-four thousand, four hundred".