4131414416656 has 20 divisors (see below), whose sum is σ = 8094554934300. Its totient is φ = 2042497014272.

The previous prime is 4131414416653. The next prime is 4131414416683. The reversal of 4131414416656 is 6566144141314.

It can be written as a sum of positive squares in 2 ways, for example, as 1113953593600 + 3017460823056 = 1055440^2 + 1737084^2 .

It is not an unprimeable number, because it can be changed into a prime (4131414416653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1450635661 + ... + 1450638508.

It is an arithmetic number, because the mean of its divisors is an integer number (404727746715).

Almost surely, 2^{4131414416656} is an apocalyptic number.

It is an amenable number.

4131414416656 is a deficient number, since it is larger than the sum of its proper divisors (3963140517644).

4131414416656 is a wasteful number, since it uses less digits than its factorization.

4131414416656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901274266 (or 2901274260 counting only the distinct ones).

The product of its digits is 829440, while the sum is 46.

The spelling of 4131414416656 in words is "four trillion, one hundred thirty-one billion, four hundred fourteen million, four hundred sixteen thousand, six hundred fifty-six".