4013234120 has 128 divisors (see below), whose sum is σ = 10998374400. Its totient is φ = 1288041216.

The previous prime is 4013234089. The next prime is 4013234123. The reversal of 4013234120 is 214323104.

It is a super-2 number, since 2×4013234120² = 32212096203864348800, which contains 22 as substring.

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 = 4013234092 and 4013234101.

It is not an unprimeable number, because it can be changed into a prime (4013234123) 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, 296051 + ... + 309309.

It is an arithmetic number, because the mean of its divisors is an integer number (85924800).

Almost surely, 2^4013234120 is an apocalyptic number.

4013234120 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 4013234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499187200).

4013234120 is an abundant number, since it is smaller than the sum of its proper divisors (6985140280).

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

4013234120 is a wasteful number, since it uses less digits than its factorization.

4013234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13347 (or 13343 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4013234120 is about 63350.0917126408. The cubic root of 4013234120 is about 1589.1497794788.

Adding to 4013234120 its reverse (214323104), we get a palindrome (4227557224).

The spelling of 4013234120 in words is "four billion, thirteen million, two hundred thirty-four thousand, one hundred twenty".