4134114120 has 128 divisors (see below), whose sum is σ = 12826874880. Its totient is φ = 1064832000.

The previous prime is 4134114119. The next prime is 4134114121. The reversal of 4134114120 is 214114314.

4134114120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4134114119) and next prime (4134114121).

It is not an unprimeable number, because it can be changed into a prime (4134114121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3499930 + ... + 3501110.

It is an arithmetic number, because the mean of its divisors is an integer number (100209960).

Almost surely, 2^4134114120 is an apocalyptic number.

4134114120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413437440).

4134114120 is an abundant number, since it is smaller than the sum of its proper divisors (8692760760).

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

4134114120 is a wasteful number, since it uses less digits than its factorization.

4134114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4134114120 is about 64297.0770719789. The cubic root of 4134114120 is about 1604.9474619112.

Adding to 4134114120 its reverse (214114314), we get a palindrome (4348228434).

The spelling of 4134114120 in words is "four billion, one hundred thirty-four million, one hundred fourteen thousand, one hundred twenty".