41166211266114 has 48 divisors (see below), whose sum is σ = 90602486827776. Its totient is φ = 12460154349280.

The previous prime is 41166211266107. The next prime is 41166211266139.

It is a happy number.

41166211266114 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32225589 + ... + 33478664.

It is an arithmetic number, because the mean of its divisors is an integer number (1887551808912).

Almost surely, 2^{41166211266114} is an apocalyptic number.

41166211266114 is an abundant number, since it is smaller than the sum of its proper divisors (49436275561662).

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

41166211266114 is a wasteful number, since it uses less digits than its factorization.

41166211266114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65705143 (or 65705132 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The spelling of 41166211266114 in words is "forty-one trillion, one hundred sixty-six billion, two hundred eleven million, two hundred sixty-six thousand, one hundred fourteen".