4004440000 has 280 divisors, whose sum is σ = 11426342400. Its totient is φ = 1376640000.

The previous prime is 4004439991. The next prime is 4004440003. The reversal of 4004440000 is 444004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8359761 + ... + 8360239.

Almost surely, 2^4004440000 is an apocalyptic number.

4004440000 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 4004440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713171200).

4004440000 is an abundant number, since it is smaller than the sum of its proper divisors (7421902400).

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

4004440000 is a wasteful number, since it uses less digits than its factorization.

4004440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 516 counting only the distinct ones).

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

The square root of 4004440000 is about 63280.6447501920. The cubic root of 4004440000 is about 1587.9881731761.

Adding to 4004440000 its reverse (444004), we get a palindrome (4004884004).

The spelling of 4004440000 in words is "four billion, four million, four hundred forty thousand".