404144040 has 128 divisors (see below), whose sum is σ = 1273708800. Its totient is φ = 102389760.

The previous prime is 404144033. The next prime is 404144053. The reversal of 404144040 is 40441404.

It is a junction number, because it is equal to n+sod(n) for n = 404143998 and 404144016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499156 + ... + 499964.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2^404144040 is an apocalyptic number.

404144040 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 404144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

404144040 is an abundant number, since it is smaller than the sum of its proper divisors (869564760).

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

404144040 is a wasteful number, since it uses less digits than its factorization.

404144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 404144040 is about 20103.3340518432. The cubic root of 404144040 is about 739.3420253097.

Adding to 404144040 its reverse (40441404), we get a palindrome (444585444).

The spelling of 404144040 in words is "four hundred four million, one hundred forty-four thousand, forty".