40404 has 48 divisors (see below), whose sum is σ = 119168. Its totient is φ = 10368.

The previous prime is 40387. The next prime is 40423.

40404 = T₂₇ + T₂₈ + ... + T₆₃.

40404 is nontrivially palindromic in base 10.

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

40404 is an undulating number in base 10.

40404 is a modest number, since divided by 404 gives 4 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 40404.

It is a congruent number.

It is an unprimeable number.

40404 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074 + ... + 1110.

2⁴⁰⁴⁰⁴ 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 40404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59584).

40404 is an abundant number, since it is smaller than the sum of its proper divisors (78764).

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

40404 is a wasteful number, since it uses less digits than its factorization.

40404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40404 is about 201.0074625480. The cubic root of 40404 is about 34.3142718419.

It can be divided in two parts, 40 and 404, that added together give a palindrome (444).

The spelling of 40404 in words is "forty thousand, four hundred four", and thus it is an iban number.