44130816 has 120 divisors (see below), whose sum is σ = 130277004. Its totient is φ = 14376960.

The previous prime is 44130811. The next prime is 44130817. The reversal of 44130816 is 61803144.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 6969600 = 6096^2 + 2640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44130816.

It is not an unprimeable number, because it can be changed into a prime (44130811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281010 + ... + 281166.

Almost surely, 2^44130816 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 44130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65138502).

44130816 is an abundant number, since it is smaller than the sum of its proper divisors (86146188).

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

44130816 is a wasteful number, since it uses less digits than its factorization.

44130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 44130816 is about 6643.1028894636. The cubic root of 44130816 is about 353.3843555922.

The spelling of 44130816 in words is "forty-four million, one hundred thirty thousand, eight hundred sixteen".