204433020134200 has 384 divisors, whose sum is σ = 597345053094720. Its totient is φ = 63918519091200.

The previous prime is 204433020134153. The next prime is 204433020134261. The reversal of 204433020134200 is 2431020334402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44994024 + ... + 49328776.

Almost surely, 2^{204433020134200} is an apocalyptic number.

204433020134200 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 204433020134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298672526547360).

204433020134200 is an abundant number, since it is smaller than the sum of its proper divisors (392912032960520).

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

204433020134200 is a wasteful number, since it uses less digits than its factorization.

204433020134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334907 (or 4334898 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 204433020134200 its reverse (2431020334402), we get a palindrome (206864040468602).

The spelling of 204433020134200 in words is "two hundred four trillion, four hundred thirty-three billion, twenty million, one hundred thirty-four thousand, two hundred".