4004400960 has 336 divisors, whose sum is σ = 15865449600. Its totient is φ = 908070912.

The previous prime is 4004400931. The next prime is 4004400973. The reversal of 4004400960 is 690044004.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2801526 + ... + 2802954.

It is an arithmetic number, because the mean of its divisors is an integer number (47218600).

Almost surely, 2^4004400960 is an apocalyptic number.

4004400960 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 4004400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932724800).

4004400960 is an abundant number, since it is smaller than the sum of its proper divisors (11861048640).

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

4004400960 is a wasteful number, since it uses less digits than its factorization.

4004400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4004400960 is about 63280.3362822923. The cubic root of 4004400960 is about 1587.9830126327.

Adding to 4004400960 its reverse (690044004), we get a palindrome (4694444964).

The spelling of 4004400960 in words is "four billion, four million, four hundred thousand, nine hundred sixty".