12768419888040 has 128 divisors (see below), whose sum is σ = 39062508629760. Its totient is φ = 3338159560704.

The previous prime is 12768419888033. The next prime is 12768419888041. The reversal of 12768419888040 is 4088891486721.

12768419888040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12768419888040² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12768419888041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901099 + ... + 5826938.

It is an arithmetic number, because the mean of its divisors is an integer number (305175848670).

Almost surely, 2^{12768419888040} is an apocalyptic number.

12768419888040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12768419888040 is an abundant number, since it is smaller than the sum of its proper divisors (26294088741720).

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

12768419888040 is a wasteful number, since it uses less digits than its factorization.

12768419888040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728291 (or 8728287 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 66.

The spelling of 12768419888040 in words is "twelve trillion, seven hundred sixty-eight billion, four hundred nineteen million, eight hundred eighty-eight thousand, forty".