444281121182444 has 96 divisors (see below), whose sum is σ = 964552149851136. Its totient is φ = 174357419408640.

The previous prime is 444281121182443. The next prime is 444281121182467.

444281121182444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444281121182392 and 444281121182401.

It is not an unprimeable number, because it can be changed into a prime (444281121182443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136050062 + ... + 139277354.

It is an arithmetic number, because the mean of its divisors is an integer number (10047418227616).

Almost surely, 2^{444281121182444} 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 444281121182444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482276074925568).

444281121182444 is an abundant number, since it is smaller than the sum of its proper divisors (520271028668692).

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

444281121182444 is a wasteful number, since it uses less digits than its factorization.

444281121182444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230335 (or 3230333 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 50.

The spelling of 444281121182444 in words is "four hundred forty-four trillion, two hundred eighty-one billion, one hundred twenty-one million, one hundred eighty-two thousand, four hundred forty-four".