204441303312 has 240 divisors, whose sum is σ = 601165713408. Its totient is φ = 64775842560.

The previous prime is 204441303251. The next prime is 204441303317. The reversal of 204441303312 is 213303144402.

204441303312 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 41 + 303 + 312 = 666.

204441303312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204441303317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132495213 + ... + 132496755.

Almost surely, 2^204441303312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204441303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300582856704).

204441303312 is an abundant number, since it is smaller than the sum of its proper divisors (396724410096).

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

204441303312 is a wasteful number, since it uses less digits than its factorization.

204441303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 204441303312 its reverse (213303144402), we get a palindrome (417744447714).

The spelling of 204441303312 in words is "two hundred four billion, four hundred forty-one million, three hundred three thousand, three hundred twelve".