220441312400 has 60 divisors (see below), whose sum is σ = 529660147200. Its totient is φ = 88168218240.

The previous prime is 220441312393. The next prime is 220441312411. The reversal of 220441312400 is 4213144022.

220441312400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5933081 + ... + 5970119.

It is an arithmetic number, because the mean of its divisors is an integer number (8827669120).

Almost surely, 2^220441312400 is an apocalyptic number.

220441312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220441312400 is an abundant number, since it is smaller than the sum of its proper divisors (309218834800).

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

220441312400 is a wasteful number, since it uses less digits than its factorization.

220441312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51936 (or 51925 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 220441312400 its reverse (4213144022), we get a palindrome (224654456422).

The spelling of 220441312400 in words is "two hundred twenty billion, four hundred forty-one million, three hundred twelve thousand, four hundred".