1311763915440 has 400 divisors, whose sum is σ = 5091361694496. Its totient is φ = 310246502400.

The previous prime is 1311763915379. The next prime is 1311763915457. The reversal of 1311763915440 is 445193671131.

1311763915440 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 7 + 639 + 1 + 5 + 4 + 4 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 2698054 + ... + 3146906.

Almost surely, 2^{1311763915440} is an apocalyptic number.

1311763915440 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 1311763915440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545680847248).

1311763915440 is an abundant number, since it is smaller than the sum of its proper divisors (3779597779056).

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

1311763915440 is a wasteful number, since it uses less digits than its factorization.

1311763915440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448930 (or 448915 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1311763915440 in words is "one trillion, three hundred eleven billion, seven hundred sixty-three million, nine hundred fifteen thousand, four hundred forty".