41284411448214 has 256 divisors, whose sum is σ = 95336933852160. Its totient is φ = 11803803648000.

The previous prime is 41284411448209. The next prime is 41284411448221.

It is a happy number.

41284411448214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4448267254 + ... + 4448276534.

It is an arithmetic number, because the mean of its divisors is an integer number (372409897860).

Almost surely, 2^{41284411448214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41284411448214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47668466926080).

41284411448214 is an abundant number, since it is smaller than the sum of its proper divisors (54052522403946).

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

41284411448214 is a wasteful number, since it uses less digits than its factorization.

41284411448214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9727.

The product of its digits is 1048576, while the sum is 48.

The spelling of 41284411448214 in words is "forty-one trillion, two hundred eighty-four billion, four hundred eleven million, four hundred forty-eight thousand, two hundred fourteen".