204240414200 has 24 divisors (see below), whose sum is σ = 474858963480. Its totient is φ = 81696165600.

The previous prime is 204240414193. The next prime is 204240414227. The reversal of 204240414200 is 2414042402.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510600836 + ... + 510601235.

It is an arithmetic number, because the mean of its divisors is an integer number (19785790145).

Almost surely, 2^204240414200 is an apocalyptic number.

204240414200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204240414200 is an abundant number, since it is smaller than the sum of its proper divisors (270618549280).

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

204240414200 is a wasteful number, since it uses less digits than its factorization.

204240414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021202087 (or 1021202078 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 204240414200 its reverse (2414042402), we get a palindrome (206654456602).

The spelling of 204240414200 in words is "two hundred four billion, two hundred forty million, four hundred fourteen thousand, two hundred".