44440968000 has 896 divisors, whose sum is σ = 180213755904. Its totient is φ = 9495552000.

The previous prime is 44440967983. The next prime is 44440968007. The reversal of 44440968000 is 86904444.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 44440968000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44440968007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78935719 + ... + 78936281.

It is an arithmetic number, because the mean of its divisors is an integer number (201131424).

Almost surely, 2^44440968000 is an apocalyptic number.

44440968000 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 44440968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90106877952).

44440968000 is an abundant number, since it is smaller than the sum of its proper divisors (135772787904).

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

44440968000 is a wasteful number, since it uses less digits than its factorization.

44440968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 44440968000 in words is "forty-four billion, four hundred forty million, nine hundred sixty-eight thousand".