41002322320014 has 96 divisors (see below), whose sum is σ = 95521629611520. Its totient is φ = 11684007793920.

The previous prime is 41002322319967. The next prime is 41002322320049.

It is a happy number.

41002322320014 is nontrivially palindromic in base 10.

41002322320014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12925467 + ... + 15782025.

It is an arithmetic number, because the mean of its divisors is an integer number (995016975120).

Almost surely, 2^{41002322320014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41002322320014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47760814805760).

41002322320014 is an abundant number, since it is smaller than the sum of its proper divisors (54519307291506).

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

41002322320014 is a wasteful number, since it uses less digits than its factorization.

41002322320014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857766 (or 2857755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 4100232 and 2320014, that added together give a palindrome (6420246).

The spelling of 41002322320014 in words is "forty-one trillion, two billion, three hundred twenty-two million, three hundred twenty thousand, fourteen".