204034293120 has 256 divisors, whose sum is σ = 768899174400. Its totient is φ = 45028171776.

The previous prime is 204034293053. The next prime is 204034293161. The reversal of 204034293120 is 21392430402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128017 + ... + 651503.

It is an arithmetic number, because the mean of its divisors is an integer number (3003512400).

Almost surely, 2^204034293120 is an apocalyptic number.

204034293120 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 204034293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384449587200).

204034293120 is an abundant number, since it is smaller than the sum of its proper divisors (564864881280).

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

204034293120 is a wasteful number, since it uses less digits than its factorization.

204034293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523545 (or 523533 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 204034293120 in words is "two hundred four billion, thirty-four million, two hundred ninety-three thousand, one hundred twenty".