204034444400 has 60 divisors (see below), whose sum is σ = 511505504112. Its totient is φ = 78065349120.

The previous prime is 204034444381. The next prime is 204034444403. The reversal of 204034444400 is 4444430402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204034444403) 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, 11079629 + ... + 11098028.

Almost surely, 2^204034444400 is an apocalyptic number.

204034444400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204034444400 is an abundant number, since it is smaller than the sum of its proper divisors (307471059712).

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

204034444400 is a wasteful number, since it uses less digits than its factorization.

204034444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22177698 (or 22177687 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 204034444400 its reverse (4444430402), we get a palindrome (208478874802).

The spelling of 204034444400 in words is "two hundred four billion, thirty-four million, four hundred forty-four thousand, four hundred".