4444045440 has 128 divisors (see below), whose sum is σ = 14185523520. Its totient is φ = 1183395840.

The previous prime is 4444045439. The next prime is 4444045471. The reversal of 4444045440 is 445404444.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959187 + ... + 1961453.

Almost surely, 2^4444045440 is an apocalyptic number.

4444045440 is a gapful number since it is divisible by the number (40) 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 4444045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092761760).

4444045440 is an abundant number, since it is smaller than the sum of its proper divisors (9741478080).

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

4444045440 is a wasteful number, since it uses less digits than its factorization.

4444045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 33.

The square root of 4444045440 is about 66663.6740661659. The cubic root of 4444045440 is about 1644.0921799356.

Adding to 4444045440 its reverse (445404444), we get a palindrome (4889449884).

The spelling of 4444045440 in words is "four billion, four hundred forty-four million, forty-five thousand, four hundred forty".