1340733316608 has 1440 divisors, whose sum is σ = 4994690747904. Its totient is φ = 351187550208.

The previous prime is 1340733316597. The next prime is 1340733316649. The reversal of 1340733316608 is 8066133370431.

It is a happy number.

1340733316608 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 7 + 3 + 3 + 31 + 6 + 608 = 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 143 ways as a sum of consecutive naturals, for example, 20010944991 + ... + 20010945057.

Almost surely, 2^{1340733316608} is an apocalyptic number.

1340733316608 is a gapful number since it is divisible by the number (18) 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 1340733316608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497345373952).

1340733316608 is an abundant number, since it is smaller than the sum of its proper divisors (3653957431296).

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

1340733316608 is an frugal number, since it uses more digits than its factorization.

1340733316608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1340733316608 in words is "one trillion, three hundred forty billion, seven hundred thirty-three million, three hundred sixteen thousand, six hundred eight".