44420382720 has 960 divisors, whose sum is σ = 191254425600. Its totient is φ = 9555148800.

The previous prime is 44420382719. The next prime is 44420382731. The reversal of 44420382720 is 2728302444.

44420382720 is a `hidden beast` number, since 444 + 203 + 8 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294174645 + ... + 294174795.

It is an arithmetic number, because the mean of its divisors is an integer number (199223360).

Almost surely, 2^44420382720 is an apocalyptic number.

44420382720 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 44420382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95627212800).

44420382720 is an abundant number, since it is smaller than the sum of its proper divisors (146834042880).

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

44420382720 is a wasteful number, since it uses less digits than its factorization.

44420382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 187 counting only the distinct ones).

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

The spelling of 44420382720 in words is "forty-four billion, four hundred twenty million, three hundred eighty-two thousand, seven hundred twenty".