4439449344 has 288 divisors, whose sum is σ = 13429963008. Its totient is φ = 1300992000.

The previous prime is 4439449307. The next prime is 4439449349.

4439449344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4439449293 and 4439449302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4439449349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43954894 + ... + 43954994.

It is an arithmetic number, because the mean of its divisors is an integer number (46631816).

Almost surely, 2^4439449344 is an apocalyptic number.

4439449344 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 4439449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714981504).

4439449344 is an abundant number, since it is smaller than the sum of its proper divisors (8990513664).

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

4439449344 is a wasteful number, since it uses less digits than its factorization.

4439449344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The square root of 4439449344 is about 66629.1928811989. The cubic root of 4439449344 is about 1643.5252031369.

The spelling of 4439449344 in words is "four billion, four hundred thirty-nine million, four hundred forty-nine thousand, three hundred forty-four".