41244633644214 has 256 divisors, whose sum is σ = 113783288371200. Its totient is φ = 9618589347840.

The previous prime is 41244633644197. The next prime is 41244633644281.

41244633644214 is nontrivially palindromic in base 10.

41244633644214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41244633644214² (a number of 28 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 766416772 + ... + 766470584.

It is an arithmetic number, because the mean of its divisors is an integer number (444465970200).

Almost surely, 2^{41244633644214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41244633644214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56891644185600).

41244633644214 is an abundant number, since it is smaller than the sum of its proper divisors (72538654726986).

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

41244633644214 is a wasteful number, since it uses less digits than its factorization.

41244633644214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57335.

The product of its digits is 5308416, while the sum is 48.

It can be divided in two parts, 4124463 and 3644214, that added together give a palindrome (7768677).

The spelling of 41244633644214 in words is "forty-one trillion, two hundred forty-four billion, six hundred thirty-three million, six hundred forty-four thousand, two hundred fourteen".