4004440440 has 1024 divisors, whose sum is σ = 17871114240. Its totient is φ = 690094080.

The previous prime is 4004440409. The next prime is 4004440441. The reversal of 4004440440 is 440444004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4004440440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004440441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75555454 + ... + 75555506.

It is an arithmetic number, because the mean of its divisors is an integer number (17452260).

Almost surely, 2^4004440440 is an apocalyptic number.

4004440440 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 4004440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935557120).

4004440440 is an abundant number, since it is smaller than the sum of its proper divisors (13866673800).

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

4004440440 is a wasteful number, since it uses less digits than its factorization.

4004440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4004440440 is about 63280.6482267683. The cubic root of 4004440440 is about 1587.9882313378.

Adding to 4004440440 its reverse (440444004), we get a palindrome (4444884444).

It can be divided in two parts, 4004 and 440440, that added together give a palindrome (444444).

The spelling of 4004440440 in words is "four billion, four million, four hundred forty thousand, four hundred forty".