41110011001114 has 24 divisors (see below), whose sum is σ = 71767646825364. Its totient is φ = 17587170480000.

The previous prime is 41110011001069. The next prime is 41110011001121.

41110011001114 is nontrivially palindromic in base 10.

41110011001114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39693565880089 + 1416445121025 = 6300283^2 + 1190145^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4996351137 + ... + 4996359364.

Almost surely, 2^{41110011001114} is an apocalyptic number.

41110011001114 is a deficient number, since it is larger than the sum of its proper divisors (30657635824250).

41110011001114 is a wasteful number, since it uses less digits than its factorization.

41110011001114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9992710542 (or 9992710531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 4111001 and 1001114, that added together give a palindrome (5112115).

The spelling of 41110011001114 in words is "forty-one trillion, one hundred ten billion, eleven million, one thousand, one hundred fourteen".