204114413120 has 336 divisors, whose sum is σ = 524480143824. Its totient is φ = 75556454400.

The previous prime is 204114413033. The next prime is 204114413137. The reversal of 204114413120 is 21314411402.

It can be written as a sum of positive squares in 24 ways, for example, as 189566193664 + 14548219456 = 435392^2 + 120616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1806322184 + ... + 1806322296.

It is an arithmetic number, because the mean of its divisors is an integer number (1560952809).

Almost surely, 2^204114413120 is an apocalyptic number.

204114413120 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 204114413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262240071912).

204114413120 is an abundant number, since it is smaller than the sum of its proper divisors (320365730704).

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

204114413120 is a wasteful number, since it uses less digits than its factorization.

204114413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 204114413120 its reverse (21314411402), we get a palindrome (225428824522).

The spelling of 204114413120 in words is "two hundred four billion, one hundred fourteen million, four hundred thirteen thousand, one hundred twenty".