204014204134320 has 320 divisors, whose sum is σ = 668692700928000. Its totient is φ = 51311218065408.

The previous prime is 204014204134309. The next prime is 204014204134337. The reversal of 204014204134320 is 23431402410402.

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

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, 4499926692 + ... + 4499972028.

It is an arithmetic number, because the mean of its divisors is an integer number (2089664690400).

Almost surely, 2^{204014204134320} is an apocalyptic number.

204014204134320 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 204014204134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334346350464000).

204014204134320 is an abundant number, since it is smaller than the sum of its proper divisors (464678496793680).

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

204014204134320 is a wasteful number, since it uses less digits than its factorization.

204014204134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49740 (or 49734 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 204014204134320 its reverse (23431402410402), we get a palindrome (227445606544722).

The spelling of 204014204134320 in words is "two hundred four trillion, fourteen billion, two hundred four million, one hundred thirty-four thousand, three hundred twenty".