204125041325304 has 320 divisors, whose sum is σ = 640987399404000. Its totient is φ = 60145313356800.

The previous prime is 204125041325269. The next prime is 204125041325323. The reversal of 204125041325304 is 403523140521402.

It is a happy number.

204125041325304 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 50 + 41 + 32 + 530 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 408277234 + ... + 408776894.

Almost surely, 2^{204125041325304} is an apocalyptic number.

204125041325304 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 204125041325304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320493699702000).

204125041325304 is an abundant number, since it is smaller than the sum of its proper divisors (436862358078696).

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

204125041325304 is a wasteful number, since it uses less digits than its factorization.

204125041325304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501276 (or 501263 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 204125041325304 its reverse (403523140521402), we get a palindrome (607648181846706).

The spelling of 204125041325304 in words is "two hundred four trillion, one hundred twenty-five billion, forty-one million, three hundred twenty-five thousand, three hundred four".