21142412400 has 60 divisors (see below), whose sum is σ = 67726198232. Its totient is φ = 5637976320.

The previous prime is 21142412399. The next prime is 21142412413. The reversal of 21142412400 is 421424112.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8808139 + ... + 8810538.

Almost surely, 2^21142412400 is an apocalyptic number.

21142412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142412400 is an abundant number, since it is smaller than the sum of its proper divisors (46583785832).

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

21142412400 is a wasteful number, since it uses less digits than its factorization.

21142412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17618698 (or 17618687 counting only the distinct ones).

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

Adding to 21142412400 its reverse (421424112), we get a palindrome (21563836512).

The spelling of 21142412400 in words is "twenty-one billion, one hundred forty-two million, four hundred twelve thousand, four hundred".