12738831034040 has 96 divisors (see below), whose sum is σ = 29285772778080. Its totient is φ = 4985723424000.

The previous prime is 12738831034031. The next prime is 12738831034099. The reversal of 12738831034040 is 4043013883721.

It is a super-2 number, since 2×12738831034040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12738831033982 and 12738831034000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88942085 + ... + 89085195.

It is an arithmetic number, because the mean of its divisors is an integer number (305060133105).

Almost surely, 2^{12738831034040} is an apocalyptic number.

12738831034040 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 12738831034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642886389040).

12738831034040 is an abundant number, since it is smaller than the sum of its proper divisors (16546941744040).

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

12738831034040 is a wasteful number, since it uses less digits than its factorization.

12738831034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143565 (or 143370 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 12738831034040 in words is "twelve trillion, seven hundred thirty-eight billion, eight hundred thirty-one million, thirty-four thousand, forty".