220444342400 has 96 divisors (see below), whose sum is σ = 559284726180. Its totient is φ = 85794508800.

The previous prime is 220444342399. The next prime is 220444342499. The reversal of 220444342400 is 4243444022.

It can be written as a sum of positive squares in 6 ways, for example, as 137854778944 + 82589563456 = 371288^2 + 287384^2 .

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, 812531 + ... + 1049330.

Almost surely, 2^220444342400 is an apocalyptic number.

220444342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220444342400 is an abundant number, since it is smaller than the sum of its proper divisors (338840383780).

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

220444342400 is a wasteful number, since it uses less digits than its factorization.

220444342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861922 (or 1861905 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 220444342400 its reverse (4243444022), we get a palindrome (224687786422).

The spelling of 220444342400 in words is "two hundred twenty billion, four hundred forty-four million, three hundred forty-two thousand, four hundred".