1315345440 has 192 divisors, whose sum is σ = 4252227840. Its totient is φ = 341667840.

The previous prime is 1315345439. The next prime is 1315345453. The reversal of 1315345440 is 445435131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1315345398 and 1315345407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4889626 + ... + 4889894.

It is an arithmetic number, because the mean of its divisors is an integer number (22147020).

Almost surely, 2^1315345440 is an apocalyptic number.

1315345440 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 1315345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126113920).

1315345440 is an abundant number, since it is smaller than the sum of its proper divisors (2936882400).

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

1315345440 is a wasteful number, since it uses less digits than its factorization.

1315345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1315345440 is about 36267.6914070912. The cubic root of 1315345440 is about 1095.6704303267.

The spelling of 1315345440 in words is "one billion, three hundred fifteen million, three hundred forty-five thousand, four hundred forty".