204040131411204 has 144 divisors (see below), whose sum is σ = 566489995378944. Its totient is φ = 61409549822400.

The previous prime is 204040131411197. The next prime is 204040131411229. The reversal of 204040131411204 is 402114131040402.

204040131411204 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 40 + 1 + 3 + 1 + 411 + 204 = 666.

204040131411204 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 94658919 + ... + 96790449.

Almost surely, 2^{204040131411204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204040131411204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283244997689472).

204040131411204 is an abundant number, since it is smaller than the sum of its proper divisors (362449863967740).

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

204040131411204 is a wasteful number, since it uses less digits than its factorization.

204040131411204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133198 (or 2133193 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 204040131411204 its reverse (402114131040402), we get a palindrome (606154262451606).

The spelling of 204040131411204 in words is "two hundred four trillion, forty billion, one hundred thirty-one million, four hundred eleven thousand, two hundred four".