41004 has 36 divisors (see below), whose sum is σ = 111384. Its totient is φ = 12672.

The previous prime is 40993. The next prime is 41011. The reversal of 41004 is 40014.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41004.

It is an unprimeable number.

41004 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 579 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (3094).

2⁴¹⁰⁰⁴ 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 41004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55692).

41004 is an abundant number, since it is smaller than the sum of its proper divisors (70380).

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

41004 is a wasteful number, since it uses less digits than its factorization.

41004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 41004 is about 202.4944443682. The cubic root of 41004 is about 34.4832937388.

Adding to 41004 its reverse (40014), we get a palindrome (81018).

Subtracting from 41004 its reverse (40014), we obtain a triangular number (990 = T₄₄).

The spelling of 41004 in words is "forty-one thousand, four", and thus it is an iban number.