204014221242400 has 36 divisors (see below), whose sum is σ = 498049717609962. Its totient is φ = 81605688496640.

The previous prime is 204014221242343. The next prime is 204014221242431. The reversal of 204014221242400 is 4242122410402.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 108335539966096 + 95678681276304 = 10408436^2 + 9781548^2 .

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, 127508887477 + ... + 127508889076.

Almost surely, 2^{204014221242400} is an apocalyptic number.

204014221242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204014221242400 is an abundant number, since it is smaller than the sum of its proper divisors (294035496367562).

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

204014221242400 is a wasteful number, since it uses less digits than its factorization.

204014221242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255017776573 (or 255017776560 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 204014221242400 its reverse (4242122410402), we get a palindrome (208256343652802).

The spelling of 204014221242400 in words is "two hundred four trillion, fourteen billion, two hundred twenty-one million, two hundred forty-two thousand, four hundred".