41201433410214 has 96 divisors (see below), whose sum is σ = 103525847647488. Its totient is φ = 10700481844800.

The previous prime is 41201433410197. The next prime is 41201433410243.

It is a happy number.

41201433410214 is nontrivially palindromic in base 10.

It is a congruent 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, 45754564 + ... + 46646360.

It is an arithmetic number, because the mean of its divisors is an integer number (1078394246328).

Almost surely, 2^{41201433410214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41201433410214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51762923823744).

41201433410214 is an abundant number, since it is smaller than the sum of its proper divisors (62324414237274).

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

41201433410214 is a wasteful number, since it uses less digits than its factorization.

41201433410214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900922 (or 900911 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4120143 and 3410214, that added together give a palindrome (7530357).

The spelling of 41201433410214 in words is "forty-one trillion, two hundred one billion, four hundred thirty-three million, four hundred ten thousand, two hundred fourteen".