1315343040 has 336 divisors, whose sum is σ = 4850855424. Its totient is φ = 299417600.

The previous prime is 1315343033. The next prime is 1315343059. The reversal of 1315343040 is 403435131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1315343040.

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 47 ways as a sum of consecutive naturals, for example, 3051625 + ... + 3052055.

Almost surely, 2^1315343040 is an apocalyptic number.

1315343040 is a gapful number since it is divisible by the number (10) 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 1315343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425427712).

1315343040 is an abundant number, since it is smaller than the sum of its proper divisors (3535512384).

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

1315343040 is a wasteful number, since it uses less digits than its factorization.

1315343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1315343040 is about 36267.6583197758. The cubic root of 1315343040 is about 1095.6697639338.

Adding to 1315343040 its reverse (403435131), we get a palindrome (1718778171).

The spelling of 1315343040 in words is "one billion, three hundred fifteen million, three hundred forty-three thousand, forty".