1340884205568 has 960 divisors, whose sum is σ = 4446665395200. Its totient is φ = 397494190080.

The previous prime is 1340884205527. The next prime is 1340884205569. The reversal of 1340884205568 is 8655024880431.

1340884205568 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 8 + 84 + 2 + 0 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340884205569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16973217753 + ... + 16973217831.

It is an arithmetic number, because the mean of its divisors is an integer number (4631943120).

Almost surely, 2^{1340884205568} is an apocalyptic number.

1340884205568 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 1340884205568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223332697600).

1340884205568 is an abundant number, since it is smaller than the sum of its proper divisors (3105781189632).

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

1340884205568 is an equidigital number, since it uses as much as digits as its factorization.

1340884205568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 1340884205568 in words is "one trillion, three hundred forty billion, eight hundred eighty-four million, two hundred five thousand, five hundred sixty-eight".