1312559590440 has 256 divisors, whose sum is σ = 4755312230400. Its totient is φ = 283336694784.

The previous prime is 1312559590411. The next prime is 1312559590567. The reversal of 1312559590440 is 440959552131.

It is a self number, because there is not a number n which added to its sum of digits gives 1312559590440.

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, 1096294 + ... + 1956266.

It is an arithmetic number, because the mean of its divisors is an integer number (18575438400).

Almost surely, 2^{1312559590440} is an apocalyptic number.

1312559590440 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 1312559590440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377656115200).

1312559590440 is an abundant number, since it is smaller than the sum of its proper divisors (3442752639960).

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

1312559590440 is a wasteful number, since it uses less digits than its factorization.

1312559590440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860096 (or 860092 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 1312559590440 in words is "one trillion, three hundred twelve billion, five hundred fifty-nine million, five hundred ninety thousand, four hundred forty".