204409294392120 has 256 divisors, whose sum is σ = 624990000384000. Its totient is φ = 53471906611200.

The previous prime is 204409294392113. The next prime is 204409294392133. The reversal of 204409294392120 is 21293492904402.

204409294392120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4882794309 + ... + 4882836171.

It is an arithmetic number, because the mean of its divisors is an integer number (2441367189000).

Almost surely, 2^{204409294392120} is an apocalyptic number.

204409294392120 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 204409294392120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312495000192000).

204409294392120 is an abundant number, since it is smaller than the sum of its proper divisors (420580705991880).

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

204409294392120 is a wasteful number, since it uses less digits than its factorization.

204409294392120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44950 (or 44946 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 204409294392120 in words is "two hundred four trillion, four hundred nine billion, two hundred ninety-four million, three hundred ninety-two thousand, one hundred twenty".