1315443401344 has 64 divisors (see below), whose sum is σ = 2682205986240. Its totient is φ = 642269730816.

The previous prime is 1315443401339. The next prime is 1315443401383. The reversal of 1315443401344 is 4431043445131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1315443401344² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24504517 + ... + 24558139.

It is an arithmetic number, because the mean of its divisors is an integer number (41909468535).

Almost surely, 2^{1315443401344} 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 1315443401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341102993120).

1315443401344 is an abundant number, since it is smaller than the sum of its proper divisors (1366762584896).

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

1315443401344 is an equidigital number, since it uses as much as digits as its factorization.

1315443401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58137 (or 58125 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 1315443401344 its reverse (4431043445131), we get a palindrome (5746486846475).

The spelling of 1315443401344 in words is "one trillion, three hundred fifteen billion, four hundred forty-three million, four hundred one thousand, three hundred forty-four".