1312467687040 has 128 divisors (see below), whose sum is σ = 3274805635200. Its totient is φ = 502043553792.

The previous prime is 1312467686969. The next prime is 1312467687067. The reversal of 1312467687040 is 407867642131.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 87414574 + ... + 87429586.

It is an arithmetic number, because the mean of its divisors is an integer number (25584419025).

Almost surely, 2^{1312467687040} is an apocalyptic number.

1312467687040 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 1312467687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637402817600).

1312467687040 is an abundant number, since it is smaller than the sum of its proper divisors (1962337948160).

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

1312467687040 is a wasteful number, since it uses less digits than its factorization.

1312467687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20994 (or 20982 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 1312467687040 in words is "one trillion, three hundred twelve billion, four hundred sixty-seven million, six hundred eighty-seven thousand, forty".