204312365140 has 96 divisors (see below), whose sum is σ = 489406657824. Its totient is φ = 70976716800.

The previous prime is 204312365129. The next prime is 204312365143. The reversal of 204312365140 is 41563213402.

It can be written as a sum of positive squares in 16 ways, for example, as 21268722244 + 183043642896 = 145838^2 + 427836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204312365143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17307240 + ... + 17319040.

It is an arithmetic number, because the mean of its divisors is an integer number (5097986019).

Almost surely, 2^204312365140 is an apocalyptic number.

204312365140 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 204312365140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244703328912).

204312365140 is an abundant number, since it is smaller than the sum of its proper divisors (285094292684).

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

204312365140 is a wasteful number, since it uses less digits than its factorization.

204312365140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15757 (or 15755 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 204312365140 its reverse (41563213402), we get a palindrome (245875578542).

The spelling of 204312365140 in words is "two hundred four billion, three hundred twelve million, three hundred sixty-five thousand, one hundred forty".