204144440320 has 88 divisors (see below), whose sum is σ = 489894983424. Its totient is φ = 81626505216.

The previous prime is 204144440293. The next prime is 204144440363. The reversal of 204144440320 is 23044441402.

204144440320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17110197 + ... + 17122123.

It is an arithmetic number, because the mean of its divisors is an integer number (5566988448).

Almost surely, 2^204144440320 is an apocalyptic number.

204144440320 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 204144440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244947491712).

204144440320 is an abundant number, since it is smaller than the sum of its proper divisors (285750543104).

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

204144440320 is a wasteful number, since it uses less digits than its factorization.

204144440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15295 (or 15277 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 204144440320 its reverse (23044441402), we get a palindrome (227188881722).

The spelling of 204144440320 in words is "two hundred four billion, one hundred forty-four million, four hundred forty thousand, three hundred twenty".