204004042400 has 36 divisors (see below), whose sum is σ = 498024870462. Its totient is φ = 81601616640.

The previous prime is 204004042399. The next prime is 204004042421. The reversal of 204004042400 is 4240400402.

It can be written as a sum of positive squares in 3 ways, for example, as 146716577296 + 57287465104 = 383036^2 + 239348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 127501727 + ... + 127503326.

Almost surely, 2^204004042400 is an apocalyptic number.

204004042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204004042400 is an abundant number, since it is smaller than the sum of its proper divisors (294020828062).

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

204004042400 is a wasteful number, since it uses less digits than its factorization.

204004042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255005073 (or 255005060 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204004042400 its reverse (4240400402), we get a palindrome (208244442802).

The spelling of 204004042400 in words is "two hundred four billion, four million, forty-two thousand, four hundred".