204313240044144 has 640 divisors, whose sum is σ = 769735305216000. Its totient is φ = 50269507200000.

The previous prime is 204313240044139. The next prime is 204313240044157. The reversal of 204313240044144 is 441440042313402.

204313240044144 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 132 + 40 + 0 + 441 + 44 = 666.

204313240044144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 204313240044099 and 204313240044108.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8690840262 + ... + 8690863770.

It is an arithmetic number, because the mean of its divisors is an integer number (1202711414400).

Almost surely, 2^{204313240044144} is an apocalyptic number.

204313240044144 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 204313240044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384867652608000).

204313240044144 is an abundant number, since it is smaller than the sum of its proper divisors (565422065171856).

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

204313240044144 is a wasteful number, since it uses less digits than its factorization.

204313240044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37314 (or 37302 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 204313240044144 its reverse (441440042313402), we get a palindrome (645753282357546).

The spelling of 204313240044144 in words is "two hundred four trillion, three hundred thirteen billion, two hundred forty million, forty-four thousand, one hundred forty-four".