1340001140000 has 120 divisors (see below), whose sum is σ = 3341766401820. Its totient is φ = 528657408000.

The previous prime is 1340001139993. The next prime is 1340001140017. The reversal of 1340001140000 is 411000431.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 51712579216 + 1288288560784 = 227404^2 + 1135028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1001096 + ... + 1918904.

Almost surely, 2^{1340001140000} is an apocalyptic number.

1340001140000 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 1340001140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670883200910).

1340001140000 is an abundant number, since it is smaller than the sum of its proper divisors (2001765261820).

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

1340001140000 is an frugal number, since it uses more digits than its factorization.

1340001140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917912 (or 917889 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1340001140000 its reverse (411000431), we get a palindrome (1340412140431).

The spelling of 1340001140000 in words is "one trillion, three hundred forty billion, one million, one hundred forty thousand".