1315006440 has 128 divisors (see below), whose sum is σ = 4556891520. Its totient is φ = 300032000.

The previous prime is 1315006379. The next prime is 1315006447. The reversal of 1315006440 is 446005131.

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 1315006440.

It is not an unprimeable number, because it can be changed into a prime (1315006447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6861 + ... + 51740.

It is an arithmetic number, because the mean of its divisors is an integer number (35600715).

Almost surely, 2^1315006440 is an apocalyptic number.

1315006440 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 1315006440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278445760).

1315006440 is an abundant number, since it is smaller than the sum of its proper divisors (3241885080).

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

1315006440 is a wasteful number, since it uses less digits than its factorization.

1315006440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58643 (or 58639 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1315006440 is about 36263.0175247455. The cubic root of 1315006440 is about 1095.5762942976.

The spelling of 1315006440 in words is "one billion, three hundred fifteen million, six thousand, four hundred forty".