1315441344 has 224 divisors, whose sum is σ = 4134551040. Its totient is φ = 361340928.

The previous prime is 1315441339. The next prime is 1315441349. The reversal of 1315441344 is 4431445131.

It is an interprime number because it is at equal distance from previous prime (1315441339) and next prime (1315441349).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1315441349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4202532 + ... + 4202844.

Almost surely, 2^1315441344 is an apocalyptic number.

1315441344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067275520).

1315441344 is an abundant number, since it is smaller than the sum of its proper divisors (2819109696).

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

1315441344 is a wasteful number, since it uses less digits than its factorization.

1315441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 1315441344 is about 36269.0135515153. The cubic root of 1315441344 is about 1095.6970587241.

Adding to 1315441344 its reverse (4431445131), we get a palindrome (5746886475).

The spelling of 1315441344 in words is "one billion, three hundred fifteen million, four hundred forty-one thousand, three hundred forty-four".