204200400400 has 30 divisors (see below), whose sum is σ = 490591462922. Its totient is φ = 81680160000.

The previous prime is 204200400353. The next prime is 204200400409. The reversal of 204200400400 is 4004002402.

It can be written as a sum of positive squares in 3 ways, for example, as 39857726736 + 164342673664 = 199644^2 + 405392^2 .

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 (204200400409) 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, 255250101 + ... + 255250900.

Almost surely, 2^204200400400 is an apocalyptic number.

204200400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204200400400 is an abundant number, since it is smaller than the sum of its proper divisors (286391062522).

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

204200400400 is a wasteful number, since it uses less digits than its factorization.

204200400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510501019 (or 510501008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 204200400400 its reverse (4004002402), we get a palindrome (208204402802).

The spelling of 204200400400 in words is "two hundred four billion, two hundred million, four hundred thousand, four hundred".