4444416520 has 32 divisors (see below), whose sum is σ = 10004992920. Its totient is φ = 1776867840.

The previous prime is 4444416511. The next prime is 4444416527. The reversal of 4444416520 is 256144444.

It can be written as a sum of positive squares in 4 ways, for example, as 1957000644 + 2487415876 = 44238^2 + 49874^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4444416527) 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 7 ways as a sum of consecutive naturals, for example, 55060 + ... + 109180.

Almost surely, 2^4444416520 is an apocalyptic number.

4444416520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444416520 is an abundant number, since it is smaller than the sum of its proper divisors (5560576400).

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

4444416520 is a wasteful number, since it uses less digits than its factorization.

4444416520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56185 (or 56181 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 4444416520 is about 66666.4572330044. The cubic root of 4444416520 is about 1644.1379394997.

The spelling of 4444416520 in words is "four billion, four hundred forty-four million, four hundred sixteen thousand, five hundred twenty".