4134414120 has 32 divisors (see below), whose sum is σ = 12403242720. Its totient is φ = 1102510400.

The previous prime is 4134414113. The next prime is 4134414133. The reversal of 4134414120 is 214144314.

It is a super-3 number, since 3×4134414120³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 17226606 + ... + 17226845.

It is an arithmetic number, because the mean of its divisors is an integer number (387601335).

Almost surely, 2^4134414120 is an apocalyptic number.

4134414120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134414120 is an abundant number, since it is smaller than the sum of its proper divisors (8268828600).

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

4134414120 is a wasteful number, since it uses less digits than its factorization.

4134414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34453465 (or 34453461 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4134414120 is about 64299.4099506364. The cubic root of 4134414120 is about 1604.9862830128.

Adding to 4134414120 its reverse (214144314), we get a palindrome (4348558434).

The spelling of 4134414120 in words is "four billion, one hundred thirty-four million, four hundred fourteen thousand, one hundred twenty".