4158266112 has 576 divisors, whose sum is σ = 16537758720. Its totient is φ = 995328000.

The previous prime is 4158266087. The next prime is 4158266129. The reversal of 4158266112 is 2116628514.

It is a happy number.

4158266112 is a `hidden beast` number, since 4 + 1 + 582 + 6 + 61 + 12 = 666.

4158266112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6918612 + ... + 6919212.

Almost surely, 2^4158266112 is an apocalyptic number.

4158266112 is a gapful number since it is divisible by the number (42) 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 4158266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268879360).

4158266112 is an abundant number, since it is smaller than the sum of its proper divisors (12379492608).

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

4158266112 is a wasteful number, since it uses less digits than its factorization.

4158266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 637 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 4158266112 is about 64484.6191893850. The cubic root of 4158266112 is about 1608.0668272516.

It can be divided in two parts, 4158 and 266112, that multiplied together give a square (1106493696 = 33264²).

The spelling of 4158266112 in words is "four billion, one hundred fifty-eight million, two hundred sixty-six thousand, one hundred twelve".