4445885444 has 144 divisors (see below), whose sum is σ = 10725120000. Its totient is φ = 1585059840.

The previous prime is 4445885419. The next prime is 4445885453.

4445885444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4445885392 and 4445885401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3558932 + ... + 3560180.

It is an arithmetic number, because the mean of its divisors is an integer number (74480000).

Almost surely, 2^4445885444 is an apocalyptic number.

4445885444 is a gapful number since it is divisible by the number (44) 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 4445885444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560000).

4445885444 is an abundant number, since it is smaller than the sum of its proper divisors (6279234556).

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

4445885444 is a wasteful number, since it uses less digits than its factorization.

4445885444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 50.

The square root of 4445885444 is about 66677.4732874604. The cubic root of 4445885444 is about 1644.3190542117.

The spelling of 4445885444 in words is "four billion, four hundred forty-five million, eight hundred eighty-five thousand, four hundred forty-four".