204044200803840 has 320 divisors, whose sum is σ = 688106125175040. Its totient is φ = 51437610270720.

The previous prime is 204044200803829. The next prime is 204044200803847. The reversal of 204044200803840 is 48308002440402.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204044200803847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66647500 + ... + 69641780.

It is an arithmetic number, because the mean of its divisors is an integer number (2150331641172).

Almost surely, 2^{204044200803840} is an apocalyptic number.

204044200803840 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 204044200803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344053062587520).

204044200803840 is an abundant number, since it is smaller than the sum of its proper divisors (484061924371200).

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

204044200803840 is a wasteful number, since it uses less digits than its factorization.

204044200803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994793 (or 2994777 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 204044200803840 in words is "two hundred four trillion, forty-four billion, two hundred million, eight hundred three thousand, eight hundred forty".