204414304120 has 128 divisors (see below), whose sum is σ = 522178151040. Its totient is φ = 71449804800.

The previous prime is 204414304057. The next prime is 204414304147. The reversal of 204414304120 is 21403414402.

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, 1072020 + ... + 1248220.

It is an arithmetic number, because the mean of its divisors is an integer number (4079516805).

Almost surely, 2^204414304120 is an apocalyptic number.

204414304120 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 204414304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261089075520).

204414304120 is an abundant number, since it is smaller than the sum of its proper divisors (317763846920).

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

204414304120 is a wasteful number, since it uses less digits than its factorization.

204414304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176345 (or 176341 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 204414304120 its reverse (21403414402), we get a palindrome (225817718522).

The spelling of 204414304120 in words is "two hundred four billion, four hundred fourteen million, three hundred four thousand, one hundred twenty".