204431099400 has 384 divisors, whose sum is σ = 769194518400. Its totient is φ = 49492684800.

The previous prime is 204431099363. The next prime is 204431099417. The reversal of 204431099400 is 4990134402.

204431099400 is a `hidden beast` number, since 20 + 443 + 109 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 55655964 + ... + 55659636.

It is an arithmetic number, because the mean of its divisors is an integer number (2003110725).

Almost surely, 2^204431099400 is an apocalyptic number.

204431099400 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 204431099400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384597259200).

204431099400 is an abundant number, since it is smaller than the sum of its proper divisors (564763419000).

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

204431099400 is a wasteful number, since it uses less digits than its factorization.

204431099400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 204431099400 in words is "two hundred four billion, four hundred thirty-one million, ninety-nine thousand, four hundred".