1311441440144 has 80 divisors (see below), whose sum is σ = 2790455018496. Its totient is φ = 592124083200.

The previous prime is 1311441440059. The next prime is 1311441440171. The reversal of 1311441440144 is 4410441441131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311441440144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122708369 + ... + 122719055.

Almost surely, 2^{1311441440144} 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 1311441440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395227509248).

1311441440144 is an abundant number, since it is smaller than the sum of its proper divisors (1479013578352).

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

1311441440144 is a wasteful number, since it uses less digits than its factorization.

1311441440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 1311441440144 its reverse (4410441441131), we get a palindrome (5721882881275).

The spelling of 1311441440144 in words is "one trillion, three hundred eleven billion, four hundred forty-one million, four hundred forty thousand, one hundred forty-four".