4400040008320 has 256 divisors, whose sum is σ = 11595374622720. Its totient is φ = 1583331266560.

The previous prime is 4400040008281. The next prime is 4400040008323. The reversal of 4400040008320 is 238000400044.

It is not an unprimeable number, because it can be changed into a prime (4400040008323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266871117 + ... + 266887603.

It is an arithmetic number, because the mean of its divisors is an integer number (45294432120).

Almost surely, 2^{4400040008320} is an apocalyptic number.

4400040008320 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 4400040008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797687311360).

4400040008320 is an abundant number, since it is smaller than the sum of its proper divisors (7195334614400).

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

4400040008320 is a wasteful number, since it uses less digits than its factorization.

4400040008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16911 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4400040008320 its reverse (238000400044), we get a palindrome (4638040408364).

The spelling of 4400040008320 in words is "four trillion, four hundred billion, forty million, eight thousand, three hundred twenty".