44042144328 has 288 divisors, whose sum is σ = 154586086200. Its totient is φ = 11214637056.

The previous prime is 44042144303. The next prime is 44042144353. The reversal of 44042144328 is 82344124044.

44042144328 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 214 + 432 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (44042144303) and next prime (44042144353).

It can be written as a sum of positive squares in 4 ways, for example, as 25191403524 + 18850740804 = 158718^2 + 137298^2 .

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 = 44042144292 and 44042144301.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1313500 + ... + 1346612.

Almost surely, 2^44042144328 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 44042144328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77293043100).

44042144328 is an abundant number, since it is smaller than the sum of its proper divisors (110543941872).

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

44042144328 is a wasteful number, since it uses less digits than its factorization.

44042144328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33181 (or 33167 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 44042144328 in words is "forty-four billion, forty-two million, one hundred forty-four thousand, three hundred twenty-eight".