3444313441440 has 96 divisors (see below), whose sum is σ = 10850898856896. Its totient is φ = 918372556800.

The previous prime is 3444313441379. The next prime is 3444313441469. The reversal of 3444313441440 is 441443134443.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579915 + ... + 4438965.

It is an arithmetic number, because the mean of its divisors is an integer number (113030196426).

Almost surely, 2^{3444313441440} is an apocalyptic number.

3444313441440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3444313441440 is an abundant number, since it is smaller than the sum of its proper divisors (7406585415456).

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

3444313441440 is a wasteful number, since it uses less digits than its factorization.

3444313441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867422 (or 867414 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 3444313441440 its reverse (441443134443), we get a palindrome (3885756575883).

The spelling of 3444313441440 in words is "three trillion, four hundred forty-four billion, three hundred thirteen million, four hundred forty-one thousand, four hundred forty".