204101140320 has 864 divisors, whose sum is σ = 916645766400. Its totient is φ = 40170608640.

The previous prime is 204101140319. The next prime is 204101140349. The reversal of 204101140320 is 23041101402.

204101140320 is a `hidden beast` number, since 204 + 1 + 0 + 1 + 140 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204101140293 and 204101140302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40025131 + ... + 40030229.

It is an arithmetic number, because the mean of its divisors is an integer number (1060932600).

Almost surely, 2^204101140320 is an apocalyptic number.

204101140320 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 204101140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458322883200).

204101140320 is an abundant number, since it is smaller than the sum of its proper divisors (712544626080).

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

204101140320 is a wasteful number, since it uses less digits than its factorization.

204101140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 204101140320 its reverse (23041101402), we get a palindrome (227142241722).

The spelling of 204101140320 in words is "two hundred four billion, one hundred one million, one hundred forty thousand, three hundred twenty".