12706457185440 has 144 divisors (see below), whose sum is σ = 43398397741608. Its totient is φ = 3385449381888.

The previous prime is 12706457185417. The next prime is 12706457185447. The reversal of 12706457185440 is 4458175460721.

It is a happy number.

12706457185440 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 6 + 457 + 185 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10639521901584 + 2066935283856 = 3261828^2 + 1437684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12706457185440² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12706457185447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2166189 + ... + 5486828.

Almost surely, 2^{12706457185440} is an apocalyptic number.

12706457185440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12706457185440 is an abundant number, since it is smaller than the sum of its proper divisors (30691940556168).

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

12706457185440 is a wasteful number, since it uses less digits than its factorization.

12706457185440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654191 (or 7654180 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 12706457185440 in words is "twelve trillion, seven hundred six billion, four hundred fifty-seven million, one hundred eighty-five thousand, four hundred forty".