41224111142214 has 256 divisors, whose sum is σ = 112185235685376. Its totient is φ = 9751589568000.

The previous prime is 41224111142197. The next prime is 41224111142231.

It is a happy number.

41224111142214 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (41224111142197) and next prime (41224111142231).

It is a super-2 number, since 2×41224111142214² (a number of 28 digits) contains 22 as substring.

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, 370328364 + ... + 370439664.

It is an arithmetic number, because the mean of its divisors is an integer number (438223576896).

Almost surely, 2^{41224111142214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41224111142214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56092617842688).

41224111142214 is an abundant number, since it is smaller than the sum of its proper divisors (70961124543162).

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

41224111142214 is a wasteful number, since it uses less digits than its factorization.

41224111142214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112163.

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 4122411 and 1142214, that added together give a palindrome (5264625).

The spelling of 41224111142214 in words is "forty-one trillion, two hundred twenty-four billion, one hundred eleven million, one hundred forty-two thousand, two hundred fourteen".