4136627106 has 48 divisors (see below), whose sum is σ = 9279878400. Its totient is φ = 1330161504.

The previous prime is 4136627071. The next prime is 4136627113. The reversal of 4136627106 is 6017266314.

It is a happy number.

4136627106 is a `hidden beast` number, since 4 + 13 + 6 + 627 + 10 + 6 = 666.

It is a super-2 number, since 2×4136627106² = 34223367628187870472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748405 + ... + 753911.

It is an arithmetic number, because the mean of its divisors is an integer number (193330800).

Almost surely, 2^4136627106 is an apocalyptic number.

4136627106 is an abundant number, since it is smaller than the sum of its proper divisors (5143251294).

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

4136627106 is a wasteful number, since it uses less digits than its factorization.

4136627106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4136627106 is about 64316.6160956871. The cubic root of 4136627106 is about 1605.2725935230.

The spelling of 4136627106 in words is "four billion, one hundred thirty-six million, six hundred twenty-seven thousand, one hundred six".