4106128032 has 96 divisors (see below), whose sum is σ = 11992075200. Its totient is φ = 1366896384.

The previous prime is 4106128027. The next prime is 4106128043. The reversal of 4106128032 is 2308216014.

4106128032 is a `hidden beast` number, since 4 + 10 + 612 + 8 + 0 + 32 = 666.

4106128032 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4106127987 and 4106128005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755019 + ... + 760437.

It is an arithmetic number, because the mean of its divisors is an integer number (124917450).

Almost surely, 2^4106128032 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 4106128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996037600).

4106128032 is an abundant number, since it is smaller than the sum of its proper divisors (7885947168).

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

4106128032 is a wasteful number, since it uses less digits than its factorization.

4106128032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4106128032 is about 64079.0763978383. The cubic root of 4106128032 is about 1601.3176687120.

The spelling of 4106128032 in words is "four billion, one hundred six million, one hundred twenty-eight thousand, thirty-two".