204244442400 has 288 divisors, whose sum is σ = 687483998208. Its totient is φ = 52614374400.

The previous prime is 204244442393. The next prime is 204244442417. The reversal of 204244442400 is 4244442402.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 48134679 + ... + 48138921.

It is an arithmetic number, because the mean of its divisors is an integer number (2387097216).

Almost surely, 2^204244442400 is an apocalyptic number.

204244442400 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 204244442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343741999104).

204244442400 is an abundant number, since it is smaller than the sum of its proper divisors (483239555808).

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

204244442400 is a wasteful number, since it uses less digits than its factorization.

204244442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 204244442400 its reverse (4244442402), we get a palindrome (208488884802).

The spelling of 204244442400 in words is "two hundred four billion, two hundred forty-four million, four hundred forty-two thousand, four hundred".