4448391001344 has 432 divisors, whose sum is σ = 14015832929280. Its totient is φ = 1403255715840.

The previous prime is 4448391001319. The next prime is 4448391001399. The reversal of 4448391001344 is 4431001938444.

4448391001344 is a `hidden beast` number, since 44 + 483 + 91 + 0 + 0 + 1 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 4448391001344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1757561359 + ... + 1757563889.

Almost surely, 2^{4448391001344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4448391001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007916464640).

4448391001344 is an abundant number, since it is smaller than the sum of its proper divisors (9567441927936).

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

4448391001344 is a wasteful number, since it uses less digits than its factorization.

4448391001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Adding to 4448391001344 its reverse (4431001938444), we get a palindrome (8879392939788).

The spelling of 4448391001344 in words is "four trillion, four hundred forty-eight billion, three hundred ninety-one million, one thousand, three hundred forty-four".