44038848000 has 960 divisors, whose sum is σ = 176981815296. Its totient is φ = 9676800000.

The previous prime is 44038847989. The next prime is 44038848001. The reversal of 44038848000 is 84883044.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 44038848000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44038848001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291647925 + ... + 291648075.

Almost surely, 2^44038848000 is an apocalyptic number.

44038848000 is a gapful number since it is divisible by the number (40) 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 44038848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88490907648).

44038848000 is an abundant number, since it is smaller than the sum of its proper divisors (132942967296).

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

44038848000 is a wasteful number, since it uses less digits than its factorization.

44038848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 44038848000 in words is "forty-four billion, thirty-eight million, eight hundred forty-eight thousand".