204440404400 has 60 divisors (see below), whose sum is σ = 499493011800. Its totient is φ = 80390115840.

The previous prime is 204440404391. The next prime is 204440404409. The reversal of 204440404400 is 4404044402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204440404391) and next prime (204440404409).

It is a self number, because there is not a number n which added to its sum of digits gives 204440404400.

It is not an unprimeable number, because it can be changed into a prime (204440404409) by changing a digit.

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, 4307765 + ... + 4354964.

It is an arithmetic number, because the mean of its divisors is an integer number (8324883530).

Almost surely, 2^204440404400 is an apocalyptic number.

204440404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204440404400 is an abundant number, since it is smaller than the sum of its proper divisors (295052607400).

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

204440404400 is a wasteful number, since it uses less digits than its factorization.

204440404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662806 (or 8662795 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 204440404400 its reverse (4404044402), we get a palindrome (208844448802).

The spelling of 204440404400 in words is "two hundred four billion, four hundred forty million, four hundred four thousand, four hundred".