4114414343220 has 192 divisors, whose sum is σ = 12150178951680. Its totient is φ = 1038247372800.

The previous prime is 4114414343191. The next prime is 4114414343233. The reversal of 4114414343220 is 223434144114.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 99406930 + ... + 99448310.

It is an arithmetic number, because the mean of its divisors is an integer number (63282182040).

Almost surely, 2^{4114414343220} 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 4114414343220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075089475840).

4114414343220 is an abundant number, since it is smaller than the sum of its proper divisors (8035764608460).

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

4114414343220 is a wasteful number, since it uses less digits than its factorization.

4114414343220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42186 (or 42184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4114414343220 its reverse (223434144114), we get a palindrome (4337848487334).

The spelling of 4114414343220 in words is "four trillion, one hundred fourteen billion, four hundred fourteen million, three hundred forty-three thousand, two hundred twenty".