1315431961728 has 256 divisors, whose sum is σ = 3686570496000. Its totient is φ = 415002931200.

The previous prime is 1315431961691. The next prime is 1315431961763. The reversal of 1315431961728 is 8271691345131.

It is a super-2 number, since 2×1315431961728² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208828723 + ... + 208835021.

It is an arithmetic number, because the mean of its divisors is an integer number (14400666000).

Almost surely, 2^{1315431961728} 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 1315431961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843285248000).

1315431961728 is an abundant number, since it is smaller than the sum of its proper divisors (2371138534272).

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

1315431961728 is a wasteful number, since it uses less digits than its factorization.

1315431961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6719 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The spelling of 1315431961728 in words is "one trillion, three hundred fifteen billion, four hundred thirty-one million, nine hundred sixty-one thousand, seven hundred twenty-eight".