4004044040 has 64 divisors (see below), whose sum is σ = 9508968000. Its totient is φ = 1513209600.

The previous prime is 4004044013. The next prime is 4004044043. The reversal of 4004044040 is 404404004.

4004044040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4004044043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281090 + ... + 294990.

It is an arithmetic number, because the mean of its divisors is an integer number (148577625).

Almost surely, 2^4004044040 is an apocalyptic number.

4004044040 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 4004044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754484000).

4004044040 is an abundant number, since it is smaller than the sum of its proper divisors (5504923960).

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

4004044040 is a wasteful number, since it uses less digits than its factorization.

4004044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14310 (or 14306 counting only the distinct ones).

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

The square root of 4004044040 is about 63277.5160700861. The cubic root of 4004044040 is about 1587.9358312321.

Adding to 4004044040 its reverse (404404004), we get a palindrome (4408448044).

The spelling of 4004044040 in words is "four billion, four million, forty-four thousand, forty", and thus it is an eban number.