1316761478640 has 480 divisors, whose sum is σ = 4511889345600. Its totient is φ = 344112758784.

The previous prime is 1316761478621. The next prime is 1316761478651. The reversal of 1316761478640 is 468741676131.

1316761478640 is a `hidden beast` number, since 1 + 3 + 16 + 7 + 614 + 7 + 8 + 6 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4494066334 + ... + 4494066626.

It is an arithmetic number, because the mean of its divisors is an integer number (9399769470).

Almost surely, 2^{1316761478640} is an apocalyptic number.

1316761478640 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 1316761478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255944672800).

1316761478640 is an abundant number, since it is smaller than the sum of its proper divisors (3195127866960).

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

1316761478640 is a wasteful number, since it uses less digits than its factorization.

1316761478640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1316761478640 in words is "one trillion, three hundred sixteen billion, seven hundred sixty-one million, four hundred seventy-eight thousand, six hundred forty".