1340414312320 has 128 divisors (see below), whose sum is σ = 3258691430400. Its totient is φ = 527095726080.

The previous prime is 1340414312311. The next prime is 1340414312327. The reversal of 1340414312320 is 232134140431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340414312327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83108097 + ... + 83124223.

It is an arithmetic number, because the mean of its divisors is an integer number (25458526800).

Almost surely, 2^{1340414312320} is an apocalyptic number.

1340414312320 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 1340414312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629345715200).

1340414312320 is an abundant number, since it is smaller than the sum of its proper divisors (1918277118080).

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

1340414312320 is a wasteful number, since it uses less digits than its factorization.

1340414312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18336 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1340414312320 its reverse (232134140431), we get a palindrome (1572548452751).

The spelling of 1340414312320 in words is "one trillion, three hundred forty billion, four hundred fourteen million, three hundred twelve thousand, three hundred twenty".