41409 has 12 divisors (see below), whose sum is σ = 61776. Its totient is φ = 26712.

The previous prime is 41399. The next prime is 41411. The reversal of 41409 is 90414.

It is not a de Polignac number, because 41409 - 2⁷ = 41281 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 41391 and 41400.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41409.

It is not an unprimeable number, because it can be changed into a prime (41479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (5148).

2⁴¹⁴⁰⁹ is an apocalyptic number.

41409 is the 129-th heptagonal number.

It is an amenable number.

41409 is a deficient number, since it is larger than the sum of its proper divisors (20367).

41409 is a wasteful number, since it uses less digits than its factorization.

41409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41409 is about 203.4920145853. The cubic root of 41409 is about 34.5964534661.

The spelling of 41409 in words is "forty-one thousand, four hundred nine".