444489984444 has 96 divisors (see below), whose sum is σ = 1137443973120. Its totient is φ = 133978622400.

The previous prime is 444489984439. The next prime is 444489984457.

444489984444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65142417 + ... + 65149239.

It is an arithmetic number, because the mean of its divisors is an integer number (11848374720).

Almost surely, 2^444489984444 is an apocalyptic number.

444489984444 is a gapful number since it is divisible by the number (44) 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 444489984444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568721986560).

444489984444 is an abundant number, since it is smaller than the sum of its proper divisors (692953988676).

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

444489984444 is a wasteful number, since it uses less digits than its factorization.

444489984444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9389 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 66.

The spelling of 444489984444 in words is "four hundred forty-four billion, four hundred eighty-nine million, nine hundred eighty-four thousand, four hundred forty-four".