4431646461344 has 24 divisors (see below), whose sum is σ = 9104143275360. Its totient is φ = 2119483089856.

The previous prime is 4431646461317. The next prime is 4431646461469.

4431646461344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4431646461292 and 4431646461301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3010628654 + ... + 3010630125.

It is an arithmetic number, because the mean of its divisors is an integer number (379339303140).

Almost surely, 2^{4431646461344} is an apocalyptic number.

It is an amenable number.

4431646461344 is an abundant number, since it is smaller than the sum of its proper divisors (4672496814016).

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

4431646461344 is a wasteful number, since it uses less digits than its factorization.

4431646461344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021258812 (or 6021258804 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 50.

The spelling of 4431646461344 in words is "four trillion, four hundred thirty-one billion, six hundred forty-six million, four hundred sixty-one thousand, three hundred forty-four".