1317317040 has 320 divisors, whose sum is σ = 5004679680. Its totient is φ = 316431360.

The previous prime is 1317317033. The next prime is 1317317051. The reversal of 1317317040 is 407137131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1317316995 and 1317317013.

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 63 ways as a sum of consecutive naturals, for example, 1206895 + ... + 1207985.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2^1317317040 is an apocalyptic number.

1317317040 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 1317317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502339840).

1317317040 is an abundant number, since it is smaller than the sum of its proper divisors (3687362640).

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

1317317040 is a wasteful number, since it uses less digits than its factorization.

1317317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1317317040 is about 36294.8624463573. The cubic root of 1317317040 is about 1096.2175984741.

The spelling of 1317317040 in words is "one billion, three hundred seventeen million, three hundred seventeen thousand, forty".