41201288210214 has 72 divisors (see below), whose sum is σ = 98143022217240. Its totient is φ = 12482643761280.

The previous prime is 41201288210213. The next prime is 41201288210219.

41201288210214 is a `hidden beast` number, since 4 + 1 + 201 + 28 + 8 + 210 + 214 = 666.

41201288210214 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41201288210214² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41201288210213) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8527857 + ... + 12454995.

It is an arithmetic number, because the mean of its divisors is an integer number (1363097530795).

Almost surely, 2^{41201288210214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41201288210214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49071511108620).

41201288210214 is an abundant number, since it is smaller than the sum of its proper divisors (56941734007026).

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

41201288210214 is a wasteful number, since it uses less digits than its factorization.

41201288210214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931986 (or 3931972 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 41201288210214 in words is "forty-one trillion, two hundred one billion, two hundred eighty-eight million, two hundred ten thousand, two hundred fourteen".