204613402464400 has 30 divisors (see below), whose sum is σ = 491583699421682. Its totient is φ = 81845360985600.

The previous prime is 204613402464301. The next prime is 204613402464439. The reversal of 204613402464400 is 4464204316402.

It can be written as a sum of positive squares in 3 ways, for example, as 66615566890896 + 137997835573504 = 8161836^2 + 11747248^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255766752681 + ... + 255766753480.

Almost surely, 2^{204613402464400} is an apocalyptic number.

204613402464400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204613402464400 is an abundant number, since it is smaller than the sum of its proper divisors (286970296957282).

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

204613402464400 is a wasteful number, since it uses less digits than its factorization.

204613402464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511533506179 (or 511533506168 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 204613402464400 in words is "two hundred four trillion, six hundred thirteen billion, four hundred two million, four hundred sixty-four thousand, four hundred".