1317956640 has 576 divisors, whose sum is σ = 5631316992. Its totient is φ = 251596800.

The previous prime is 1317956639. The next prime is 1317956677. The reversal of 1317956640 is 466597131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1317956592 and 1317956601.

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 95 ways as a sum of consecutive naturals, for example, 6246135 + ... + 6246345.

It is an arithmetic number, because the mean of its divisors is an integer number (9776592).

Almost surely, 2^1317956640 is an apocalyptic number.

1317956640 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 1317956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815658496).

1317956640 is an abundant number, since it is smaller than the sum of its proper divisors (4313360352).

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

1317956640 is a wasteful number, since it uses less digits than its factorization.

1317956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1317956640 is about 36303.6725414936. The cubic root of 1317956640 is about 1096.3949861263.

The spelling of 1317956640 in words is "one billion, three hundred seventeen million, nine hundred fifty-six thousand, six hundred forty".