41213433431214 has 96 divisors (see below), whose sum is σ = 100056649885920. Its totient is φ = 12150132192000.

The previous prime is 41213433431207. The next prime is 41213433431221.

41213433431214 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 3 + 4 + 3 + 3 + 431 + 214 = 666.

41213433431214 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (41213433431207) and next prime (41213433431221).

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, 72250632 + ... + 72818820.

It is an arithmetic number, because the mean of its divisors is an integer number (1042256769645).

Almost surely, 2^{41213433431214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41213433431214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50028324942960).

41213433431214 is an abundant number, since it is smaller than the sum of its proper divisors (58843216454706).

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

41213433431214 is a wasteful number, since it uses less digits than its factorization.

41213433431214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578146 (or 578143 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 4121343 and 3431214, that added together give a palindrome (7552557).

The spelling of 41213433431214 in words is "forty-one trillion, two hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, two hundred fourteen".