204213220400 has 60 divisors (see below), whose sum is σ = 560711164272. Its totient is φ = 70015960320.

The previous prime is 204213220391. The next prime is 204213220457. The reversal of 204213220400 is 4022312402.

204213220400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204213220400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36463847 + ... + 36469446.

Almost surely, 2^204213220400 is an apocalyptic number.

204213220400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204213220400 is an abundant number, since it is smaller than the sum of its proper divisors (356497943872).

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

204213220400 is a wasteful number, since it uses less digits than its factorization.

204213220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72933318 (or 72933307 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 204213220400 its reverse (4022312402), we get a palindrome (208235532802).

The spelling of 204213220400 in words is "two hundred four billion, two hundred thirteen million, two hundred twenty thousand, four hundred".