4135106024 has 64 divisors (see below), whose sum is σ = 9001549440. Its totient is φ = 1744174080.

The previous prime is 4135106011. The next prime is 4135106033. The reversal of 4135106024 is 4206015314.

It is a junction number, because it is equal to n+sod(n) for n = 4135105984 and 4135106002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791364 + ... + 2792844.

It is an arithmetic number, because the mean of its divisors is an integer number (140649210).

Almost surely, 2^4135106024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135106024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500774720).

4135106024 is an abundant number, since it is smaller than the sum of its proper divisors (4866443416).

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

4135106024 is a wasteful number, since it uses less digits than its factorization.

4135106024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4135106024 is about 64304.7900548629. The cubic root of 4135106024 is about 1605.0758107713.

The spelling of 4135106024 in words is "four billion, one hundred thirty-five million, one hundred six thousand, twenty-four".