44119400328 has 128 divisors (see below), whose sum is σ = 126876240000. Its totient is φ = 14188559616.

The previous prime is 44119400267. The next prime is 44119400329. The reversal of 44119400328 is 82300491144.

It is a happy number.

44119400328 is a `hidden beast` number, since 441 + 194 + 0 + 0 + 3 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 44119400292 and 44119400301.

It is not an unprimeable number, because it can be changed into a prime (44119400329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14612403 + ... + 14615421.

It is an arithmetic number, because the mean of its divisors is an integer number (991220625).

Almost surely, 2^44119400328 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 44119400328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63438120000).

44119400328 is an abundant number, since it is smaller than the sum of its proper divisors (82756839672).

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

44119400328 is a wasteful number, since it uses less digits than its factorization.

44119400328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 44119400328 in words is "forty-four billion, one hundred nineteen million, four hundred thousand, three hundred twenty-eight".