4400440004016 has 320 divisors, whose sum is σ = 14792413224960. Its totient is φ = 1226186588160.

The previous prime is 4400440003991. The next prime is 4400440004027. The reversal of 4400440004016 is 6104000440044.

It is a super-2 number, since 2×4400440004016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 630703120 + ... + 630710096.

It is an arithmetic number, because the mean of its divisors is an integer number (46226291328).

Almost surely, 2^{4400440004016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400440004016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396206612480).

4400440004016 is an abundant number, since it is smaller than the sum of its proper divisors (10391973220944).

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

4400440004016 is a wasteful number, since it uses less digits than its factorization.

4400440004016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 4400440004016 in words is "four trillion, four hundred billion, four hundred forty million, four thousand, sixteen".