4214114120 has 128 divisors (see below), whose sum is σ = 10474272000. Its totient is φ = 1519580160.

The previous prime is 4214114083. The next prime is 4214114131. The reversal of 4214114120 is 214114124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4214114092 and 4214114101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1563494 + ... + 1566186.

It is an arithmetic number, because the mean of its divisors is an integer number (81830250).

Almost surely, 2^4214114120 is an apocalyptic number.

4214114120 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 4214114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237136000).

4214114120 is an abundant number, since it is smaller than the sum of its proper divisors (6260157880).

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

4214114120 is a wasteful number, since it uses less digits than its factorization.

4214114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4214114120 is about 64916.2084536674. The cubic root of 4214114120 is about 1615.2339368520.

Adding to 4214114120 its reverse (214114124), we get a palindrome (4428228244).

The spelling of 4214114120 in words is "four billion, two hundred fourteen million, one hundred fourteen thousand, one hundred twenty".