44350420128 has 192 divisors, whose sum is σ = 143625000960. Its totient is φ = 11702541312.

The previous prime is 44350420091. The next prime is 44350420181. The reversal of 44350420128 is 82102405344.

44350420128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398751 + ... + 497697.

It is an arithmetic number, because the mean of its divisors is an integer number (748046880).

Almost surely, 2^44350420128 is an apocalyptic number.

44350420128 is a gapful number since it is divisible by the number (48) 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 44350420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71812500480).

44350420128 is an abundant number, since it is smaller than the sum of its proper divisors (99274580832).

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

44350420128 is a wasteful number, since it uses less digits than its factorization.

44350420128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99019 (or 99011 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 44350420128 in words is "forty-four billion, three hundred fifty million, four hundred twenty thousand, one hundred twenty-eight".