1317415040 has 64 divisors (see below), whose sum is σ = 3153899160. Its totient is φ = 526221312.

The previous prime is 1317415031. The next prime is 1317415049. The reversal of 1317415040 is 405147131.

It is an interprime number because it is at equal distance from previous prime (1317415031) and next prime (1317415049).

It can be written as a sum of positive squares in 4 ways, for example, as 1058591296 + 258823744 = 32536^2 + 16088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1317415049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775472 + ... + 777168.

Almost surely, 2^1317415040 is an apocalyptic number.

1317415040 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 1317415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576949580).

1317415040 is an abundant number, since it is smaller than the sum of its proper divisors (1836484120).

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

1317415040 is a wasteful number, since it uses less digits than its factorization.

1317415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1317415040 is about 36296.2124745820. The cubic root of 1317415040 is about 1096.2447816698.

The spelling of 1317415040 in words is "one billion, three hundred seventeen million, four hundred fifteen thousand, forty".