1317827440 has 80 divisors (see below), whose sum is σ = 3132835200. Its totient is φ = 515414016.

The previous prime is 1317827429. The next prime is 1317827443. The reversal of 1317827440 is 447287131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1317827440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317827443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687924 + ... + 689836.

It is an arithmetic number, because the mean of its divisors is an integer number (39160440).

Almost surely, 2^1317827440 is an apocalyptic number.

1317827440 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 1317827440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566417600).

1317827440 is an abundant number, since it is smaller than the sum of its proper divisors (1815007760).

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

1317827440 is a wasteful number, since it uses less digits than its factorization.

1317827440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 1317827440 is about 36301.8930635855. The cubic root of 1317827440 is about 1096.3591582250.

The spelling of 1317827440 in words is "one billion, three hundred seventeen million, eight hundred twenty-seven thousand, four hundred forty".