204245044800 has 672 divisors, whose sum is σ = 754694553600. Its totient is φ = 48054435840.

The previous prime is 204245044789. The next prime is 204245044807. The reversal of 204245044800 is 8440542402.

It is not an unprimeable number, because it can be changed into a prime (204245044807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159690561 + ... + 159691839.

Almost surely, 2^204245044800 is an apocalyptic number.

204245044800 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 204245044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377347276800).

204245044800 is an abundant number, since it is smaller than the sum of its proper divisors (550449508800).

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

204245044800 is a wasteful number, since it uses less digits than its factorization.

204245044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The spelling of 204245044800 in words is "two hundred four billion, two hundred forty-five million, forty-four thousand, eight hundred".