4444310031440 has 20 divisors (see below), whose sum is σ = 10333020823284. Its totient is φ = 1777724012544.

The previous prime is 4444310031431. The next prime is 4444310031461. The reversal of 4444310031440 is 441300134444.

It can be written as a sum of positive squares in 2 ways, for example, as 2174020495936 + 2270289535504 = 1474456^2 + 1506748^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 4444310031397 and 4444310031406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27776937617 + ... + 27776937776.

Almost surely, 2^{4444310031440} is an apocalyptic number.

4444310031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444310031440 is an abundant number, since it is smaller than the sum of its proper divisors (5888710791844).

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

4444310031440 is a wasteful number, since it uses less digits than its factorization.

4444310031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55553875406 (or 55553875400 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4444310031440 its reverse (441300134444), we get a palindrome (4885610165884).

The spelling of 4444310031440 in words is "four trillion, four hundred forty-four billion, three hundred ten million, thirty-one thousand, four hundred forty".