204423024032304 has 320 divisors, whose sum is σ = 693268090859520. Its totient is φ = 50286787200000.

The previous prime is 204423024032231. The next prime is 204423024032347. The reversal of 204423024032304 is 403230420324402.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 227850514 + ... + 228745934.

It is an arithmetic number, because the mean of its divisors is an integer number (2166462783936).

Almost surely, 2^{204423024032304} is an apocalyptic number.

204423024032304 is a gapful number since it is divisible by the number (24) 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 204423024032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346634045429760).

204423024032304 is an abundant number, since it is smaller than the sum of its proper divisors (488845066827216).

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

204423024032304 is a wasteful number, since it uses less digits than its factorization.

204423024032304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898720 (or 898714 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 204423024032304 its reverse (403230420324402), we get a palindrome (607653444356706).

The spelling of 204423024032304 in words is "two hundred four trillion, four hundred twenty-three billion, twenty-four million, thirty-two thousand, three hundred four".