4214116114124 has 36 divisors (see below), whose sum is σ = 8640453958920. Its totient is φ = 1793056587840.

The previous prime is 4214116114121. The next prime is 4214116114189.

4214116114124 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4214116114124³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4214116114121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77313017 + ... + 77367504.

It is an arithmetic number, because the mean of its divisors is an integer number (240012609970).

Almost surely, 2^{4214116114124} is an apocalyptic number.

It is an amenable number.

4214116114124 is an abundant number, since it is smaller than the sum of its proper divisors (4426337844796).

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

4214116114124 is a wasteful number, since it uses less digits than its factorization.

4214116114124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154680678 (or 154680669 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The spelling of 4214116114124 in words is "four trillion, two hundred fourteen billion, one hundred sixteen million, one hundred fourteen thousand, one hundred twenty-four".