41040 has 80 divisors (see below), whose sum is σ = 148800. Its totient is φ = 10368.

The previous prime is 41039. The next prime is 41047. The reversal of 41040 is 4014.

41040 = T₅₆ + T₅₇ + ... + T₇₄.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41040.

It is not an unprimeable number, because it can be changed into a prime (41047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2151 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2⁴¹⁰⁴⁰ is an apocalyptic number.

41040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

41040 is an abundant number, since it is smaller than the sum of its proper divisors (107760).

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

41040 is a wasteful number, since it uses less digits than its factorization.

41040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 29 counting only the distinct ones).

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

The square root of 41040 is about 202.5833161936. The cubic root of 41040 is about 34.4933824737.

Adding to 41040 its reverse (4014), we get a palindrome (45054).

The spelling of 41040 in words is "forty-one thousand, forty", and thus it is an iban number.