41201311310214 has 128 divisors (see below), whose sum is σ = 96001358561280. Its totient is φ = 11664884649600.

The previous prime is 41201311310213. The next prime is 41201311310279.

41201311310214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41201311310213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004326107 + ... + 1004367129.

It is an arithmetic number, because the mean of its divisors is an integer number (750010613760).

Almost surely, 2^{41201311310214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41201311310214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48000679280640).

41201311310214 is an abundant number, since it is smaller than the sum of its proper divisors (54800047251066).

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

41201311310214 is a wasteful number, since it uses less digits than its factorization.

41201311310214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58026.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 4120131 and 1310214, that added together give a palindrome (5430345).

The spelling of 41201311310214 in words is "forty-one trillion, two hundred one billion, three hundred eleven million, three hundred ten thousand, two hundred fourteen".