4400004440 has 64 divisors (see below), whose sum is σ = 10698307200. Its totient is φ = 1619016192.

The previous prime is 4400004407. The next prime is 4400004449. The reversal of 4400004440 is 444000044.

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

4400004440 is a modest number, since divided by 4440 gives 4400 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400004449) 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, 137921 + ... + 166799.

It is an arithmetic number, because the mean of its divisors is an integer number (167161050).

Almost surely, 2^4400004440 is an apocalyptic number.

4400004440 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 4400004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349153600).

4400004440 is an abundant number, since it is smaller than the sum of its proper divisors (6298302760).

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

4400004440 is a wasteful number, since it uses less digits than its factorization.

4400004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29196 (or 29192 counting only the distinct ones).

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

The square root of 4400004440 is about 66332.5292748588. The cubic root of 4400004440 is about 1638.6430923809.

Adding to 4400004440 its reverse (444000044), we get a palindrome (4844004484).

The spelling of 4400004440 in words is "four billion, four hundred million, four thousand, four hundred forty".