204100234400 has 144 divisors (see below), whose sum is σ = 529680785760. Its totient is φ = 76576896000.

The previous prime is 204100234391. The next prime is 204100234423. The reversal of 204100234400 is 4432001402.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1468727 + ... + 1601673.

It is an arithmetic number, because the mean of its divisors is an integer number (3678338790).

Almost surely, 2^204100234400 is an apocalyptic number.

204100234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204100234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264840392880).

204100234400 is an abundant number, since it is smaller than the sum of its proper divisors (325580551360).

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

204100234400 is a wasteful number, since it uses less digits than its factorization.

204100234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133087 (or 133074 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 204100234400 its reverse (4432001402), we get a palindrome (208532235802).

The spelling of 204100234400 in words is "two hundred four billion, one hundred million, two hundred thirty-four thousand, four hundred".