4214142414124 has 24 divisors (see below), whose sum is σ = 7484967976640. Its totient is φ = 2075581377936.

The previous prime is 4214142414121. The next prime is 4214142414143.

4214142414124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4214142414124.

It is not an unprimeable number, because it can be changed into a prime (4214142414121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16939267 + ... + 17186245.

Almost surely, 2^{4214142414124} is an apocalyptic number.

It is an amenable number.

4214142414124 is a deficient number, since it is larger than the sum of its proper divisors (3270825562516).

4214142414124 is a wasteful number, since it uses less digits than its factorization.

4214142414124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310717 (or 310715 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The spelling of 4214142414124 in words is "four trillion, two hundred fourteen billion, one hundred forty-two million, four hundred fourteen thousand, one hundred twenty-four".