204240414140200 has 24 divisors (see below), whose sum is σ = 474858962876430. Its totient is φ = 81696165656000.

The previous prime is 204240414140137. The next prime is 204240414140237. The reversal of 204240414140200 is 2041414042402.

It is a happy number.

204240414140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 153646982375364 + 50593431764836 = 12395442^2 + 7112906^2 .

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, 510601035151 + ... + 510601035550.

Almost surely, 2^{204240414140200} is an apocalyptic number.

204240414140200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204240414140200 is an abundant number, since it is smaller than the sum of its proper divisors (270618548736230).

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

204240414140200 is a wasteful number, since it uses less digits than its factorization.

204240414140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021202070717 (or 1021202070708 counting only the distinct ones).

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

Adding to 204240414140200 its reverse (2041414042402), we get a palindrome (206281828182602).

The spelling of 204240414140200 in words is "two hundred four trillion, two hundred forty billion, four hundred fourteen million, one hundred forty thousand, two hundred".