4424430431344 has 160 divisors (see below), whose sum is σ = 10751871836160. Its totient is φ = 1713444710400.

The previous prime is 4424430431261. The next prime is 4424430431357. The reversal of 4424430431344 is 4431340344244.

It is a junction number, because it is equal to n+sod(n) for n = 4424430431297 and 4424430431306.

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, 658492017 + ... + 658498735.

It is an arithmetic number, because the mean of its divisors is an integer number (67199198976).

Almost surely, 2^{4424430431344} is an apocalyptic number.

4424430431344 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 4424430431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375935918080).

4424430431344 is an abundant number, since it is smaller than the sum of its proper divisors (6327441404816).

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

4424430431344 is a wasteful number, since it uses less digits than its factorization.

4424430431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 4424430431344 its reverse (4431340344244), we get a palindrome (8855770775588).

The spelling of 4424430431344 in words is "four trillion, four hundred twenty-four billion, four hundred thirty million, four hundred thirty-one thousand, three hundred forty-four".