204400222400 has 84 divisors (see below), whose sum is σ = 548675280600. Its totient is φ = 74327347200.

The previous prime is 204400222361. The next prime is 204400222427. The reversal of 204400222400 is 4222004402.

204400222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5789225 + ... + 5824424.

Almost surely, 2^204400222400 is an apocalyptic number.

204400222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204400222400 is an abundant number, since it is smaller than the sum of its proper divisors (344275058200).

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

204400222400 is a wasteful number, since it uses less digits than its factorization.

204400222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613682 (or 11613667 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204400222400 its reverse (4222004402), we get a palindrome (208622226802).

The spelling of 204400222400 in words is "two hundred four billion, four hundred million, two hundred twenty-two thousand, four hundred".