204134223142400 has 60 divisors (see below), whose sum is σ = 505758485853192. Its totient is φ = 81653689251840.

The previous prime is 204134223142379. The next prime is 204134223142453. The reversal of 204134223142400 is 4241322431402.

It is a happy number.

204134223142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 7973980292 + ... + 7974005891.

Almost surely, 2^{204134223142400} is an apocalyptic number.

204134223142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204134223142400 is an abundant number, since it is smaller than the sum of its proper divisors (301624262710792).

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

204134223142400 is an equidigital number, since it uses as much as digits as its factorization.

204134223142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15947986211 (or 15947986190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 204134223142400 its reverse (4241322431402), we get a palindrome (208375545573802).

The spelling of 204134223142400 in words is "two hundred four trillion, one hundred thirty-four billion, two hundred twenty-three million, one hundred forty-two thousand, four hundred".