44420382720000 has 2880 divisors, whose sum is σ = 199164926822400. Its totient is φ = 9555148800000.

The previous prime is 44420382719971. The next prime is 44420382720047. The reversal of 44420382720000 is 2728302444.

44420382720000 is a `hidden beast` number, since 4 + 4 + 420 + 3 + 8 + 27 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 294174719925 + ... + 294174720075.

It is an arithmetic number, because the mean of its divisors is an integer number (69154488480).

Almost surely, 2^{44420382720000} is an apocalyptic number.

44420382720000 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 44420382720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582463411200).

44420382720000 is an abundant number, since it is smaller than the sum of its proper divisors (154744544102400).

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

44420382720000 is an frugal number, since it uses more digits than its factorization.

44420382720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 44420382720000 in words is "forty-four trillion, four hundred twenty billion, three hundred eighty-two million, seven hundred twenty thousand".