21234422400 has 96 divisors (see below), whose sum is σ = 69940910400. Its totient is φ = 5662510080.

The previous prime is 21234422393. The next prime is 21234422449. The reversal of 21234422400 is 422443212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096360 + ... + 1115559.

It is an arithmetic number, because the mean of its divisors is an integer number (728551150).

Almost surely, 2^21234422400 is an apocalyptic number.

21234422400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21234422400 is an abundant number, since it is smaller than the sum of its proper divisors (48706488000).

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

21234422400 is a wasteful number, since it uses less digits than its factorization.

21234422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211946 (or 2211929 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21234422400 its reverse (422443212), we get a palindrome (21656865612).

The spelling of 21234422400 in words is "twenty-one billion, two hundred thirty-four million, four hundred twenty-two thousand, four hundred".