220020000400 has 60 divisors (see below), whose sum is σ = 528954484900. Its totient is φ = 87948656640.

The previous prime is 220020000383. The next prime is 220020000413. The reversal of 220020000400 is 4000020022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 834978816 + 219185021584 = 28896^2 + 468172^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 410896 + ... + 780304.

Almost surely, 2^220020000400 is an apocalyptic number.

220020000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220020000400 is an abundant number, since it is smaller than the sum of its proper divisors (308934484500).

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

220020000400 is a wasteful number, since it uses less digits than its factorization.

220020000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370916 (or 370905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 220020000400 its reverse (4000020022), we get a palindrome (224020020422).

The spelling of 220020000400 in words is "two hundred twenty billion, twenty million, four hundred", and thus it is an aban number.