204314550002400 has 144 divisors (see below), whose sum is σ = 665062833348144. Its totient is φ = 54482325626880.

The previous prime is 204314550002399. The next prime is 204314550002411. The reversal of 204314550002400 is 4200055413402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84178632 + ... + 86571768.

It is an arithmetic number, because the mean of its divisors is an integer number (4618491898251).

Almost surely, 2^{204314550002400} is an apocalyptic number.

204314550002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204314550002400 is an abundant number, since it is smaller than the sum of its proper divisors (460748283345744).

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

204314550002400 is a wasteful number, since it uses less digits than its factorization.

204314550002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428733 (or 2428720 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 204314550002400 in words is "two hundred four trillion, three hundred fourteen billion, five hundred fifty million, two thousand, four hundred".