4040004400 has 30 divisors (see below), whose sum is σ = 9706111532. Its totient is φ = 1616001600.

The previous prime is 4040004379. The next prime is 4040004431. The reversal of 4040004400 is 44000404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5049606 + ... + 5050405.

Almost surely, 2^4040004400 is an apocalyptic number.

4040004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040004400 is an abundant number, since it is smaller than the sum of its proper divisors (5666107132).

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

4040004400 is a wasteful number, since it uses less digits than its factorization.

4040004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100029 (or 10100018 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4040004400 is about 63561.0289406960. The cubic root of 4040004400 is about 1592.6754265564.

Adding to 4040004400 its reverse (44000404), we get a palindrome (4084004804).

It can be divided in two parts, 4040004 and 400, that added together give a palindrome (4040404).

The spelling of 4040004400 in words is "four billion, forty million, four thousand, four hundred".