41566504116126 has 192 divisors, whose sum is σ = 96773738342400. Its totient is φ = 11860240392000.

The previous prime is 41566504116121. The next prime is 41566504116143. The reversal of 41566504116126 is 62161140566514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41566504116121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7434535591 + ... + 7434541181.

It is an arithmetic number, because the mean of its divisors is an integer number (504029887200).

Almost surely, 2^{41566504116126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41566504116126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48386869171200).

41566504116126 is an abundant number, since it is smaller than the sum of its proper divisors (55207234226274).

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

41566504116126 is a wasteful number, since it uses less digits than its factorization.

41566504116126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 41566504116126 in words is "forty-one trillion, five hundred sixty-six billion, five hundred four million, one hundred sixteen thousand, one hundred twenty-six".