1317242784 has 288 divisors, whose sum is σ = 4185857088. Its totient is φ = 362419200.

The previous prime is 1317242747. The next prime is 1317242789. The reversal of 1317242784 is 4872427131.

1317242784 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1317242789) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21594114 + ... + 21594174.

It is an arithmetic number, because the mean of its divisors is an integer number (14534226).

Almost surely, 2^1317242784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317242784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092928544).

1317242784 is an abundant number, since it is smaller than the sum of its proper divisors (2868614304).

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

1317242784 is a wasteful number, since it uses less digits than its factorization.

1317242784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 1317242784 is about 36293.8394772446. The cubic root of 1317242784 is about 1096.1970004806.

The spelling of 1317242784 in words is "one billion, three hundred seventeen million, two hundred forty-two thousand, seven hundred eighty-four".