204013200400 has 30 divisors (see below), whose sum is σ = 490141714922. Its totient is φ = 81605280000.

The previous prime is 204013200389. The next prime is 204013200407. The reversal of 204013200400 is 4002310402.

It can be written as a sum of positive squares in 3 ways, for example, as 65533952016 + 138479248384 = 255996^2 + 372128^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204013200407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255016101 + ... + 255016900.

Almost surely, 2^204013200400 is an apocalyptic number.

204013200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204013200400 is an abundant number, since it is smaller than the sum of its proper divisors (286128514522).

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

204013200400 is a wasteful number, since it uses less digits than its factorization.

204013200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510033019 (or 510033008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 204013200400 its reverse (4002310402), we get a palindrome (208015510802).

The spelling of 204013200400 in words is "two hundred four billion, thirteen million, two hundred thousand, four hundred".