1312518590640 has 480 divisors, whose sum is σ = 4914876320640. Its totient is φ = 312195907584.

The previous prime is 1312518590557. The next prime is 1312518590659. The reversal of 1312518590640 is 460958152131.

It is a happy number.

1312518590640 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 18 + 590 + 6 + 40 = 666.

It is a super-2 number, since 2×1312518590640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30664294 + ... + 30707066.

It is an arithmetic number, because the mean of its divisors is an integer number (10239325668).

Almost surely, 2^{1312518590640} is an apocalyptic number.

1312518590640 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 1312518590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457438160320).

1312518590640 is an abundant number, since it is smaller than the sum of its proper divisors (3602357730000).

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

1312518590640 is a wasteful number, since it uses less digits than its factorization.

1312518590640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42941 (or 42932 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1312518590640 in words is "one trillion, three hundred twelve billion, five hundred eighteen million, five hundred ninety thousand, six hundred forty".