4434120440 has 128 divisors (see below), whose sum is σ = 10809849600. Its totient is φ = 1631508480.

The previous prime is 4434120437. The next prime is 4434120451. The reversal of 4434120440 is 440214344.

It is a happy number.

It is a super-2 number, since 2×4434120440² = 39322848152851587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7875599 + ... + 7876161.

It is an arithmetic number, because the mean of its divisors is an integer number (84451950).

Almost surely, 2^4434120440 is an apocalyptic number.

4434120440 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 4434120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404924800).

4434120440 is an abundant number, since it is smaller than the sum of its proper divisors (6375729160).

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

4434120440 is a wasteful number, since it uses less digits than its factorization.

4434120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4434120440 is about 66589.1916154566. The cubic root of 4434120440 is about 1642.8673366619.

Adding to 4434120440 its reverse (440214344), we get a palindrome (4874334784).

The spelling of 4434120440 in words is "four billion, four hundred thirty-four million, one hundred twenty thousand, four hundred forty".