41124 has 24 divisors (see below), whose sum is σ = 100800. Its totient is φ = 13024.

The previous prime is 41117. The next prime is 41131. The reversal of 41124 is 42114.

It is an interprime number because it is at equal distance from previous prime (41117) and next prime (41131).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is an Ulam number.

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 7 ways as a sum of consecutive naturals, for example, 202 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁴¹¹²⁴ 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 41124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

41124 is an abundant number, since it is smaller than the sum of its proper divisors (59676).

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

41124 is a wasteful number, since it uses less digits than its factorization.

41124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 41124 is about 202.7905323234. The cubic root of 41124 is about 34.5168999327.

Adding to 41124 its reverse (42114), we get a palindrome (83238).

Subtracting 41124 from its reverse (42114), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 411 and 24, that added together give a triangular number (435 = T₂₉).

The spelling of 41124 in words is "forty-one thousand, one hundred twenty-four", and thus it is an iban number.