1340646122016 has 72 divisors (see below), whose sum is σ = 3812659659900. Its totient is φ = 446858919936.

The previous prime is 1340646122003. The next prime is 1340646122017. The reversal of 1340646122016 is 6102216460431.

1340646122016 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 6 + 4 + 612 + 20 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1338602720400 + 2043401616 = 1156980^2 + 45204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1340646122017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5993760 + ... + 6213408.

Almost surely, 2^{1340646122016} is an apocalyptic number.

1340646122016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1340646122016 is an abundant number, since it is smaller than the sum of its proper divisors (2472013537884).

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

1340646122016 is a wasteful number, since it uses less digits than its factorization.

1340646122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240858 (or 240847 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1340646122016 in words is "one trillion, three hundred forty billion, six hundred forty-six million, one hundred twenty-two thousand, sixteen".