1311439496640 has 1344 divisors, whose sum is σ = 5407011792000. Its totient is φ = 266726670336.

The previous prime is 1311439496597. The next prime is 1311439496671. The reversal of 1311439496640 is 466949341131.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 3371309566 + ... + 3371309954.

It is an arithmetic number, because the mean of its divisors is an integer number (4023074250).

Almost surely, 2^{1311439496640} is an apocalyptic number.

1311439496640 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 1311439496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703505896000).

1311439496640 is an abundant number, since it is smaller than the sum of its proper divisors (4095572295360).

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

1311439496640 is a wasteful number, since it uses less digits than its factorization.

1311439496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 1311439496640 in words is "one trillion, three hundred eleven billion, four hundred thirty-nine million, four hundred ninety-six thousand, six hundred forty".