220042412400 has 120 divisors (see below), whose sum is σ = 741967649920. Its totient is φ = 55589656320.

The previous prime is 220042412363. The next prime is 220042412441. The reversal of 220042412400 is 4214240022.

220042412400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 4802692 + ... + 4848291.

Almost surely, 2^220042412400 is an apocalyptic number.

220042412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220042412400 is an abundant number, since it is smaller than the sum of its proper divisors (521925237520).

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

220042412400 is a wasteful number, since it uses less digits than its factorization.

220042412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9651023 (or 9651012 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 220042412400 its reverse (4214240022), we get a palindrome (224256652422).

The spelling of 220042412400 in words is "two hundred twenty billion, forty-two million, four hundred twelve thousand, four hundred".