204202410400 has 36 divisors (see below), whose sum is σ = 498509136342. Its totient is φ = 81680963840.

The previous prime is 204202410397. The next prime is 204202410409. The reversal of 204202410400 is 4014202402.

204202410400 is digitally balanced in base 3, 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 79206222096 + 124996188304 = 281436^2 + 353548^2 .

It is not an unprimeable number, because it can be changed into a prime (204202410409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127625707 + ... + 127627306.

Almost surely, 2^204202410400 is an apocalyptic number.

204202410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204202410400 is an abundant number, since it is smaller than the sum of its proper divisors (294306725942).

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

204202410400 is a wasteful number, since it uses less digits than its factorization.

204202410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255253033 (or 255253020 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 204202410400 its reverse (4014202402), we get a palindrome (208216612802).

The spelling of 204202410400 in words is "two hundred four billion, two hundred two million, four hundred ten thousand, four hundred".