12814097340 has 192 divisors, whose sum is σ = 39850030080. Its totient is φ = 3050588160.

The previous prime is 12814097339. The next prime is 12814097377. The reversal of 12814097340 is 4379041821.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 15272641 + ... + 15273479.

It is an arithmetic number, because the mean of its divisors is an integer number (207552240).

Almost surely, 2^12814097340 is an apocalyptic number.

12814097340 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 12814097340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925015040).

12814097340 is an abundant number, since it is smaller than the sum of its proper divisors (27035932740).

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

12814097340 is a wasteful number, since it uses less digits than its factorization.

12814097340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 12814097340 in words is "twelve billion, eight hundred fourteen million, ninety-seven thousand, three hundred forty".