204253352410400 has 36 divisors (see below), whose sum is σ = 498633496573842. Its totient is φ = 81701340963840.

The previous prime is 204253352410361. The next prime is 204253352410411. The reversal of 204253352410400 is 4014253352402.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 162392918249104 + 41860434161296 = 12743348^2 + 6469964^2 .

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, 127658344457 + ... + 127658346056.

Almost surely, 2^{204253352410400} is an apocalyptic number.

204253352410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204253352410400 is an abundant number, since it is smaller than the sum of its proper divisors (294380144163442).

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

204253352410400 is a wasteful number, since it uses less digits than its factorization.

204253352410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255316690533 (or 255316690520 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 204253352410400 in words is "two hundred four trillion, two hundred fifty-three billion, three hundred fifty-two million, four hundred ten thousand, four hundred".