41128 has 16 divisors (see below), whose sum is σ = 79380. Its totient is φ = 19968.

The previous prime is 41117. The next prime is 41131. The reversal of 41128 is 82114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 324 = 202^2 + 18^2 .

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 376 + ... + 472.

2⁴¹¹²⁸ is an apocalyptic number.

It is an amenable number.

41128 is a deficient number, since it is larger than the sum of its proper divisors (38252).

41128 is a wasteful number, since it uses less digits than its factorization.

41128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 41128 is about 202.8003944769. The cubic root of 41128 is about 34.5180190126.

It can be divided in two parts, 4112 and 8, that multiplied together give a triangular number (32896 = T₂₅₆).

The spelling of 41128 in words is "forty-one thousand, one hundred twenty-eight".