4400444160000 has 1440 divisors, whose sum is σ = 18308310340320. Its totient is φ = 997097472000.

The previous prime is 4400444159999. The next prime is 4400444160023. The reversal of 4400444160000 is 614440044.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15886079862 + ... + 15886080138.

It is an arithmetic number, because the mean of its divisors is an integer number (12714104403).

Almost surely, 2^{4400444160000} is an apocalyptic number.

4400444160000 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 4400444160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9154155170160).

4400444160000 is an abundant number, since it is smaller than the sum of its proper divisors (13907866180320).

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

4400444160000 is a wasteful number, since it uses less digits than its factorization.

4400444160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 491 counting only the distinct ones).

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

The spelling of 4400444160000 in words is "four trillion, four hundred billion, four hundred forty-four million, one hundred sixty thousand".