4400444408320 has 160 divisors (see below), whose sum is σ = 11109530551680. Its totient is φ = 1667015147520.

The previous prime is 4400444408293. The next prime is 4400444408333. The reversal of 4400444408320 is 238044440044.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 4400444408320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178642405 + ... + 178667035.

It is an arithmetic number, because the mean of its divisors is an integer number (69434565948).

Almost surely, 2^{4400444408320} is an apocalyptic number.

4400444408320 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 4400444408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554765275840).

4400444408320 is an abundant number, since it is smaller than the sum of its proper divisors (6709086143360).

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

4400444408320 is a wasteful number, since it uses less digits than its factorization.

4400444408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28346 (or 28330 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 4400444408320 its reverse (238044440044), we get a palindrome (4638488848364).

The spelling of 4400444408320 in words is "four trillion, four hundred billion, four hundred forty-four million, four hundred eight thousand, three hundred twenty".