1340421314304 has 288 divisors, whose sum is σ = 3692904284160. Its totient is φ = 431391338496.

The previous prime is 1340421314303. The next prime is 1340421314333. The reversal of 1340421314304 is 4034131240431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340421314303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290106617 + ... + 1290107655.

It is an arithmetic number, because the mean of its divisors is an integer number (12822584320).

Almost surely, 2^{1340421314304} 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 1340421314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846452142080).

1340421314304 is an abundant number, since it is smaller than the sum of its proper divisors (2352482969856).

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

1340421314304 is a wasteful number, since it uses less digits than its factorization.

1340421314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1340421314304 its reverse (4034131240431), we get a palindrome (5374552554735).

The spelling of 1340421314304 in words is "one trillion, three hundred forty billion, four hundred twenty-one million, three hundred fourteen thousand, three hundred four".