4444434440 has 256 divisors, whose sum is σ = 11757312000. Its totient is φ = 1501265920.

The previous prime is 4444434433. The next prime is 4444434479. The reversal of 4444434440 is 444344444.

It is a super-2 number, since 2×4444434440² = 39505994982916227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4444434440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18595841 + ... + 18596079.

It is an arithmetic number, because the mean of its divisors is an integer number (45927000).

Almost surely, 2^4444434440 is an apocalyptic number.

4444434440 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 4444434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878656000).

4444434440 is an abundant number, since it is smaller than the sum of its proper divisors (7312877560).

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

4444434440 is a wasteful number, since it uses less digits than its factorization.

4444434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 35.

The square root of 4444434440 is about 66666.5916332911. The cubic root of 4444434440 is about 1644.1401492320.

Adding to 4444434440 its reverse (444344444), we get a palindrome (4888778884).

It can be divided in two parts, 4 and 444434440, that added together give a palindrome (444434444).

The spelling of 4444434440 in words is "four billion, four hundred forty-four million, four hundred thirty-four thousand, four hundred forty".