41214334213024 has 144 divisors (see below), whose sum is σ = 98003433282048. Its totient is φ = 16710786445824.

The previous prime is 41214334212923. The next prime is 41214334213057. The reversal of 41214334213024 is 42031243341214.

41214334213024 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 2×41214334213024² (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 58925649 + ... + 59620975.

It is an arithmetic number, because the mean of its divisors is an integer number (680579397792).

Almost surely, 2^{41214334213024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214334213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49001716641024).

41214334213024 is an abundant number, since it is smaller than the sum of its proper divisors (56789099069024).

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

41214334213024 is a wasteful number, since it uses less digits than its factorization.

41214334213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696115 (or 696088 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 41214334213024 its reverse (42031243341214), we get a palindrome (83245577554238).

The spelling of 41214334213024 in words is "forty-one trillion, two hundred fourteen billion, three hundred thirty-four million, two hundred thirteen thousand, twenty-four".