4124144414214 has 144 divisors (see below), whose sum is σ = 9973370809584. Its totient is φ = 1230476607360.

The previous prime is 4124144414177. The next prime is 4124144414231.

4124144414214 is a `hidden beast` number, since 4 + 1 + 24 + 1 + 4 + 4 + 414 + 214 = 666.

4124144414214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355615864 + ... + 355627460.

It is an arithmetic number, because the mean of its divisors is an integer number (69259519511).

Almost surely, 2^{4124144414214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124144414214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986685404792).

4124144414214 is an abundant number, since it is smaller than the sum of its proper divisors (5849226395370).

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

4124144414214 is a wasteful number, since it uses less digits than its factorization.

4124144414214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131 (or 14117 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 4124144414214 in words is "four trillion, one hundred twenty-four billion, one hundred forty-four million, four hundred fourteen thousand, two hundred fourteen".