4040404400 has 60 divisors (see below), whose sum is σ = 9725535264. Its totient is φ = 1613088000.

The previous prime is 4040404367. The next prime is 4040404421. The reversal of 4040404400 is 44040404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207065 + ... + 225735.

Almost surely, 2^4040404400 is an apocalyptic number.

4040404400 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 4040404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862767632).

4040404400 is an abundant number, since it is smaller than the sum of its proper divisors (5685130864).

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

4040404400 is a wasteful number, since it uses less digits than its factorization.

4040404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19230 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4040404400 is about 63564.1754449784. The cubic root of 4040404400 is about 1592.7279883099.

Adding to 4040404400 its reverse (44040404), we get a palindrome (4084444804).

The spelling of 4040404400 in words is "four billion, forty million, four hundred four thousand, four hundred".