40040 has 64 divisors (see below), whose sum is σ = 120960. Its totient is φ = 11520.

The previous prime is 40039. The next prime is 40063. The reversal of 40040 is 4004.

40040 = T₄₉ + T₅₀ + ... + T₇₀.

40040 = 11² + 12² + ... + 49².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3074 + ... + 3086.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2⁴⁰⁰⁴⁰ is an apocalyptic number.

40040 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 40040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

40040 is an abundant number, since it is smaller than the sum of its proper divisors (80920).

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

40040 is a wasteful number, since it uses less digits than its factorization.

40040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 40040 is about 200.0999750125. The cubic root of 40040 is about 34.2109149753.

Adding to 40040 its reverse (4004), we get a palindrome (44044).

The spelling of 40040 in words is "forty thousand, forty", and thus it is an eban number and an iban number.