41133333333114 has 96 divisors (see below), whose sum is σ = 97879457415168. Its totient is φ = 12380663700000.

The previous prime is 41133333333109. The next prime is 41133333333151.

41133333333114 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 3 + 3 + 3 + 333 + 311 + 4 = 666.

41133333333114 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41133333333114² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273521427 + ... + 273671769.

It is an arithmetic number, because the mean of its divisors is an integer number (1019577681408).

Almost surely, 2^{41133333333114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41133333333114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48939728707584).

41133333333114 is an abundant number, since it is smaller than the sum of its proper divisors (56746124082054).

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

41133333333114 is a wasteful number, since it uses less digits than its factorization.

41133333333114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159664 (or 159661 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

It can be divided in two parts, 4113333 and 3333114, that added together give a palindrome (7446447).

The spelling of 41133333333114 in words is "forty-one trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred fourteen".