44448448000 has 320 divisors, whose sum is σ = 127312922880. Its totient is φ = 15307776000.

The previous prime is 44448447983. The next prime is 44448448003. The reversal of 44448448000 is 84484444.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44448448003) 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, 13374339 + ... + 13377661.

It is an arithmetic number, because the mean of its divisors is an integer number (397852884).

Almost surely, 2^44448448000 is an apocalyptic number.

44448448000 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 44448448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63656461440).

44448448000 is an abundant number, since it is smaller than the sum of its proper divisors (82864474880).

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

44448448000 is a wasteful number, since it uses less digits than its factorization.

44448448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 44448448000 in words is "forty-four billion, four hundred forty-eight million, four hundred forty-eight thousand".