44385075840 has 256 divisors, whose sum is σ = 166905815040. Its totient is φ = 9817804800.

The previous prime is 44385075829. The next prime is 44385075841. The reversal of 44385075840 is 4857058344.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 44385075840.

It is not an unprimeable number, because it can be changed into a prime (44385075841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363375 + ... + 469905.

It is an arithmetic number, because the mean of its divisors is an integer number (651975840).

Almost surely, 2^44385075840 is an apocalyptic number.

44385075840 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 44385075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83452907520).

44385075840 is an abundant number, since it is smaller than the sum of its proper divisors (122520739200).

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

44385075840 is a wasteful number, since it uses less digits than its factorization.

44385075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106591 (or 106579 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

It can be divided in two parts, 443850 and 75840, that added together give a triangular number (519690 = T₁₀₁₉).

The spelling of 44385075840 in words is "forty-four billion, three hundred eighty-five million, seventy-five thousand, eight hundred forty".