4106163072 has 192 divisors, whose sum is σ = 12176841600. Its totient is φ = 1224791040.

The previous prime is 4106163071. The next prime is 4106163073. The reversal of 4106163072 is 2703616014.

4106163072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4106163071) and next prime (4106163073).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106163071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3112429 + ... + 3113747.

It is an arithmetic number, because the mean of its divisors is an integer number (63421050).

Almost surely, 2^4106163072 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 4106163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088420800).

4106163072 is an abundant number, since it is smaller than the sum of its proper divisors (8070678528).

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

4106163072 is a wasteful number, since it uses less digits than its factorization.

4106163072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4106163072 is about 64079.3498094355. The cubic root of 4106163072 is about 1601.3222236935.

Adding to 4106163072 its reverse (2703616014), we get a palindrome (6809779086).

The spelling of 4106163072 in words is "four billion, one hundred six million, one hundred sixty-three thousand, seventy-two".