204234045120 has 672 divisors, whose sum is σ = 879415056000. Its totient is φ = 42418962432.

The previous prime is 204234045053. The next prime is 204234045133. The reversal of 204234045120 is 21540432402.

204234045120 is a `hidden beast` number, since 204 + 2 + 3 + 4 + 0 + 451 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9928606 + ... + 9949154.

Almost surely, 2^204234045120 is an apocalyptic number.

204234045120 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 204234045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439707528000).

204234045120 is an abundant number, since it is smaller than the sum of its proper divisors (675181010880).

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

204234045120 is a wasteful number, since it uses less digits than its factorization.

204234045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20625 (or 20612 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 204234045120 its reverse (21540432402), we get a palindrome (225774477522).

The spelling of 204234045120 in words is "two hundred four billion, two hundred thirty-four million, forty-five thousand, one hundred twenty".