44007138720 has 288 divisors, whose sum is σ = 155720807424. Its totient is φ = 11305267200.

The previous prime is 44007138709. The next prime is 44007138787. The reversal of 44007138720 is 2783170044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10399005 + ... + 10403235.

It is an arithmetic number, because the mean of its divisors is an integer number (540697248).

Almost surely, 2^44007138720 is an apocalyptic number.

44007138720 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 44007138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77860403712).

44007138720 is an abundant number, since it is smaller than the sum of its proper divisors (111713668704).

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

44007138720 is a wasteful number, since it uses less digits than its factorization.

44007138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 44007138720 in words is "forty-four billion, seven million, one hundred thirty-eight thousand, seven hundred twenty".