1340320304400 has 720 divisors, whose sum is σ = 5456367645120. Its totient is φ = 278106931200.

The previous prime is 1340320304333. The next prime is 1340320304413. The reversal of 1340320304400 is 44030230431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 709538656 + ... + 709540544.

It is an arithmetic number, because the mean of its divisors is an integer number (7578288396).

Almost surely, 2^{1340320304400} is an apocalyptic number.

1340320304400 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 1340320304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728183822560).

1340320304400 is an abundant number, since it is smaller than the sum of its proper divisors (4116047340720).

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

1340320304400 is a wasteful number, since it uses less digits than its factorization.

1340320304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1340320304400 its reverse (44030230431), we get a palindrome (1384350534831).

The spelling of 1340320304400 in words is "one trillion, three hundred forty billion, three hundred twenty million, three hundred four thousand, four hundred".