1340468140672 has 64 divisors (see below), whose sum is σ = 2716025448960. Its totient is φ = 658813455360.

The previous prime is 1340468140667. The next prime is 1340468140673. The reversal of 1340468140672 is 2760418640431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1340468140672³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1340468140673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11992113 + ... + 12103375.

It is an arithmetic number, because the mean of its divisors is an integer number (42437897640).

Almost surely, 2^{1340468140672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340468140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358012724480).

1340468140672 is an abundant number, since it is smaller than the sum of its proper divisors (1375557308288).

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

1340468140672 is a wasteful number, since it uses less digits than its factorization.

1340468140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112881 (or 112869 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 1340468140672 in words is "one trillion, three hundred forty billion, four hundred sixty-eight million, one hundred forty thousand, six hundred seventy-two".