4004000440 has 64 divisors (see below), whose sum is σ = 9864828000. Its totient is φ = 1450544640.

The previous prime is 4004000437. The next prime is 4004000447. The reversal of 4004000440 is 440004004.

4004000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004000447) 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, 101446 + ... + 135274.

Almost surely, 2^4004000440 is an apocalyptic number.

4004000440 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 4004000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932414000).

4004000440 is an abundant number, since it is smaller than the sum of its proper divisors (5860827560).

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

4004000440 is a wasteful number, since it uses less digits than its factorization.

4004000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34120 (or 34116 counting only the distinct ones).

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

The square root of 4004000440 is about 63277.1715549929. The cubic root of 4004000440 is about 1587.9300675381.

Adding to 4004000440 its reverse (440004004), we get a palindrome (4444004444).

The spelling of 4004000440 in words is "four billion, four million, four hundred forty", and thus it is an aban number.