4440325344000 has 1152 divisors, whose sum is σ = 18359219773440. Its totient is φ = 926171136000.

The previous prime is 4440325343959. The next prime is 4440325344023. The reversal of 4440325344000 is 4435230444.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 777501145 + ... + 777506855.

It is an arithmetic number, because the mean of its divisors is an integer number (15936822720).

Almost surely, 2^{4440325344000} is an apocalyptic number.

4440325344000 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 4440325344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9179609886720).

4440325344000 is an abundant number, since it is smaller than the sum of its proper divisors (13918894429440).

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

4440325344000 is a wasteful number, since it uses less digits than its factorization.

4440325344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

The spelling of 4440325344000 in words is "four trillion, four hundred forty billion, three hundred twenty-five million, three hundred forty-four thousand".