204432302004400 has 240 divisors, whose sum is σ = 497107072736064. Its totient is φ = 80784085155840.

The previous prime is 204432302004397. The next prime is 204432302004419. The reversal of 204432302004400 is 4400203234402.

It is a happy number.

It is a super-2 number, since 2×204432302004400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82532215962 + ... + 82532218438.

Almost surely, 2^{204432302004400} is an apocalyptic number.

204432302004400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204432302004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248553536368032).

204432302004400 is an abundant number, since it is smaller than the sum of its proper divisors (292674770731664).

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

204432302004400 is a wasteful number, since it uses less digits than its factorization.

204432302004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 204432302004400 its reverse (4400203234402), we get a palindrome (208832505238802).

The spelling of 204432302004400 in words is "two hundred four trillion, four hundred thirty-two billion, three hundred two million, four thousand, four hundred".