21412124400 has 60 divisors (see below), whose sum is σ = 68590175672. Its totient is φ = 5709899520.

The previous prime is 21412124399. The next prime is 21412124441. The reversal of 21412124400 is 442121412.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8920519 + ... + 8922918.

Almost surely, 2^21412124400 is an apocalyptic number.

21412124400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21412124400 is an abundant number, since it is smaller than the sum of its proper divisors (47178051272).

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

21412124400 is a wasteful number, since it uses less digits than its factorization.

21412124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843458 (or 17843447 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21412124400 its reverse (442121412), we get a palindrome (21854245812).

The spelling of 21412124400 in words is "twenty-one billion, four hundred twelve million, one hundred twenty-four thousand, four hundred".