41261816214 has 48 divisors (see below), whose sum is σ = 92006093088. Its totient is φ = 13354626816.

The previous prime is 41261816213. The next prime is 41261816263.

41261816214 is a `hidden beast` number, since 4 + 1 + 2 + 618 + 16 + 21 + 4 = 666.

41261816214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41261816213) by changing a digit.

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, 260734 + ... + 387950.

It is an arithmetic number, because the mean of its divisors is an integer number (1916793606).

Almost surely, 2^41261816214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41261816214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46003046544).

41261816214 is an abundant number, since it is smaller than the sum of its proper divisors (50744276874).

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

41261816214 is a wasteful number, since it uses less digits than its factorization.

41261816214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127749 (or 127746 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 41261816214 in words is "forty-one billion, two hundred sixty-one million, eight hundred sixteen thousand, two hundred fourteen".