4134013120 has 112 divisors (see below), whose sum is σ = 10203240960. Its totient is φ = 1594285056.

The previous prime is 4134013073. The next prime is 4134013139. The reversal of 4134013120 is 213104314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085139 + ... + 1088941.

Almost surely, 2^4134013120 is an apocalyptic number.

4134013120 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 4134013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101620480).

4134013120 is an abundant number, since it is smaller than the sum of its proper divisors (6069227840).

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

4134013120 is a wasteful number, since it uses less digits than its factorization.

4134013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4134013120 is about 64296.2916504521. The cubic root of 4134013120 is about 1604.9343917178.

Adding to 4134013120 its reverse (213104314), we get a palindrome (4347117434).

The spelling of 4134013120 in words is "four billion, one hundred thirty-four million, thirteen thousand, one hundred twenty".