44382829456 has 80 divisors (see below), whose sum is σ = 101662064640. Its totient is φ = 18368507520.

The previous prime is 44382829369. The next prime is 44382829457. The reversal of 44382829456 is 65492828344.

It is a junction number, because it is equal to n+sod(n) for n = 44382829397 and 44382829406.

It is not an unprimeable number, because it can be changed into a prime (44382829457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1649745 + ... + 1676431.

It is an arithmetic number, because the mean of its divisors is an integer number (1270775808).

Almost surely, 2^44382829456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44382829456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50831032320).

44382829456 is an abundant number, since it is smaller than the sum of its proper divisors (57279235184).

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

44382829456 is a wasteful number, since it uses less digits than its factorization.

44382829456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27212 (or 27206 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 55.

The spelling of 44382829456 in words is "forty-four billion, three hundred eighty-two million, eight hundred twenty-nine thousand, four hundred fifty-six".