12731340752340 has 144 divisors (see below), whose sum is σ = 41478528575232. Its totient is φ = 2909267553024.

The previous prime is 12731340752329. The next prime is 12731340752353. The reversal of 12731340752340 is 4325704313721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12731340752292 and 12731340752301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10839909 + ... + 11956851.

It is an arithmetic number, because the mean of its divisors is an integer number (288045337328).

Almost surely, 2^{12731340752340} is an apocalyptic number.

12731340752340 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 12731340752340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739264287616).

12731340752340 is an abundant number, since it is smaller than the sum of its proper divisors (28747187822892).

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

12731340752340 is a wasteful number, since it uses less digits than its factorization.

12731340752340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120846 (or 1120837 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 12731340752340 in words is "twelve trillion, seven hundred thirty-one billion, three hundred forty million, seven hundred fifty-two thousand, three hundred forty".