1316540261344 has 192 divisors, whose sum is σ = 3403538030592. Its totient is φ = 486048499200.

The previous prime is 1316540261299. The next prime is 1316540261371. The reversal of 1316540261344 is 4431620456131.

It is a junction number, because it is equal to n+sod(n) for n = 1316540261297 and 1316540261306.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5955349 + ... + 6172459.

It is an arithmetic number, because the mean of its divisors is an integer number (17726760576).

Almost surely, 2^{1316540261344} is an apocalyptic number.

1316540261344 is a gapful number since it is divisible by the number (14) 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 1316540261344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701769015296).

1316540261344 is an abundant number, since it is smaller than the sum of its proper divisors (2086997769248).

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

1316540261344 is a wasteful number, since it uses less digits than its factorization.

1316540261344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217269 (or 217261 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 1316540261344 in words is "one trillion, three hundred sixteen billion, five hundred forty million, two hundred sixty-one thousand, three hundred forty-four".