4444115440 has 40 divisors (see below), whose sum is σ = 10688869440. Its totient is φ = 1716347136.

The previous prime is 4444115393. The next prime is 4444115449. The reversal of 4444115440 is 445114444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444115449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955464 + ... + 960103.

It is an arithmetic number, because the mean of its divisors is an integer number (267221736).

Almost surely, 2^4444115440 is an apocalyptic number.

4444115440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444115440 is an abundant number, since it is smaller than the sum of its proper divisors (6244754000).

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

4444115440 is a wasteful number, since it uses less digits than its factorization.

4444115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915609 (or 1915603 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 4444115440 is about 66664.1990876662. The cubic root of 4444115440 is about 1644.1008121492.

Adding to 4444115440 its reverse (445114444), we get a palindrome (4889229884).

The spelling of 4444115440 in words is "four billion, four hundred forty-four million, one hundred fifteen thousand, four hundred forty".