44312240128 has 224 divisors, whose sum is σ = 101286259200. Its totient is φ = 19230621696.

The previous prime is 44312240123. The next prime is 44312240129. The reversal of 44312240128 is 82104221344.

It is a self number, because there is not a number n which added to its sum of digits gives 44312240128.

It is not an unprimeable number, because it can be changed into a prime (44312240123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193503118 + ... + 193503346.

It is an arithmetic number, because the mean of its divisors is an integer number (452170800).

Almost surely, 2^44312240128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44312240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50643129600).

44312240128 is an abundant number, since it is smaller than the sum of its proper divisors (56974019072).

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

44312240128 is a wasteful number, since it uses less digits than its factorization.

44312240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 44312240128 in words is "forty-four billion, three hundred twelve million, two hundred forty thousand, one hundred twenty-eight".