1317976470720 has 448 divisors, whose sum is σ = 5722499543040. Its totient is φ = 278078386176.

The previous prime is 1317976470667. The next prime is 1317976470731. The reversal of 1317976470720 is 270746797131.

1317976470720 is a `hidden beast` number, since 1 + 3 + 17 + 97 + 6 + 470 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51912 + ... + 1624391.

It is an arithmetic number, because the mean of its divisors is an integer number (12773436480).

Almost surely, 2^{1317976470720} is an apocalyptic number.

1317976470720 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 1317976470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861249771520).

1317976470720 is an abundant number, since it is smaller than the sum of its proper divisors (4404523072320).

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

1317976470720 is a wasteful number, since it uses less digits than its factorization.

1317976470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676349 (or 1676333 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 1317976470720 in words is "one trillion, three hundred seventeen billion, nine hundred seventy-six million, four hundred seventy thousand, seven hundred twenty".