44441444414444 has 72 divisors (see below), whose sum is σ = 98840421871632. Its totient is φ = 17289272058240.

The previous prime is 44441444414383. The next prime is 44441444414449.

44441444414444 is nontrivially palindromic in base 10.

44441444414444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44441444414392 and 44441444414401.

It is not an unprimeable number, because it can be changed into a prime (44441444414449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13764107 + ... + 16683330.

It is an arithmetic number, because the mean of its divisors is an integer number (1372783637106).

Almost surely, 2^{44441444414444} is an apocalyptic number.

44441444414444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44441444414444 is an abundant number, since it is smaller than the sum of its proper divisors (54398977457188).

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

44441444414444 is a wasteful number, since it uses less digits than its factorization.

44441444414444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30448143 (or 30448134 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 50.

It can be divided in two parts, 4444144 and 4414444, that added together give a palindrome (8858588).

The spelling of 44441444414444 in words is "forty-four trillion, four hundred forty-one billion, four hundred forty-four million, four hundred fourteen thousand, four hundred forty-four".