12431707097040 has 960 divisors, whose sum is σ = 53953381048320. Its totient is φ = 2490479861760.

The previous prime is 12431707097009. The next prime is 12431707097099. The reversal of 12431707097040 is 4079070713421.

12431707097040 is a `hidden beast` number, since 12 + 431 + 70 + 70 + 9 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174544956 + ... + 174616164.

It is an arithmetic number, because the mean of its divisors is an integer number (56201438592).

Almost surely, 2^{12431707097040} is an apocalyptic number.

12431707097040 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 12431707097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26976690524160).

12431707097040 is an abundant number, since it is smaller than the sum of its proper divisors (41521673951280).

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

12431707097040 is a wasteful number, since it uses less digits than its factorization.

12431707097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71360 (or 71351 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 12431707097040 in words is "twelve trillion, four hundred thirty-one billion, seven hundred seven million, ninety-seven thousand, forty".