41161917456 has 405 divisors, whose sum is σ = 133658379127. Its totient is φ = 11815964160.

The previous prime is 41161917451. The next prime is 41161917457. The reversal of 41161917456 is 65471916114.

It is a happy number.

The square root of 41161917456 is 202884.

It is a perfect power (a square), and thus also a powerful number.

41161917456 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 191 + 7 + 456 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2582672400 + 38579245056 = 50820^2 + 196416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41161917451) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 776639926 + ... + 776639978.

Almost surely, 2^41161917456 is an apocalyptic number.

41161917456 is the 202884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41161917456

41161917456 is an abundant number, since it is smaller than the sum of its proper divisors (92496461671).

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

41161917456 is a wasteful number, since it uses less digits than its factorization.

41161917456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 41161917456 in words is "forty-one billion, one hundred sixty-one million, nine hundred seventeen thousand, four hundred fifty-six".