220420330400 has 72 divisors (see below), whose sum is σ = 538185764844. Its totient is φ = 88154265600.

The previous prime is 220420330369. The next prime is 220420330439. The reversal of 220420330400 is 4033024022.

It can be written as a sum of positive squares in 6 ways, for example, as 9559363984 + 210860966416 = 97772^2 + 459196^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6175004 + ... + 6210596.

Almost surely, 2^220420330400 is an apocalyptic number.

220420330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220420330400 is an abundant number, since it is smaller than the sum of its proper divisors (317765434444).

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

220420330400 is a wasteful number, since it uses less digits than its factorization.

220420330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43354 (or 43341 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 220420330400 its reverse (4033024022), we get a palindrome (224453354422).

The spelling of 220420330400 in words is "two hundred twenty billion, four hundred twenty million, three hundred thirty thousand, four hundred".