204420114400 has 72 divisors (see below), whose sum is σ = 502970307840. Its totient is φ = 81124162560.

The previous prime is 204420114343. The next prime is 204420114401. The reversal of 204420114400 is 4411024402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204420114401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904405 + ... + 1107604.

It is an arithmetic number, because the mean of its divisors is an integer number (6985698720).

Almost surely, 2^204420114400 is an apocalyptic number.

204420114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204420114400 is an abundant number, since it is smaller than the sum of its proper divisors (298550193440).

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

204420114400 is a wasteful number, since it uses less digits than its factorization.

204420114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012156 (or 2012143 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 204420114400 its reverse (4411024402), we get a palindrome (208831138802).

The spelling of 204420114400 in words is "two hundred four billion, four hundred twenty million, one hundred fourteen thousand, four hundred".