444555555444 has 576 divisors, whose sum is σ = 1617787825920. Its totient is φ = 103699491840.

The previous prime is 444555555443. The next prime is 444555555461.

444555555444 is a `hidden beast` number, since 4 + 4 + 45 + 5 + 5 + 5 + 554 + 44 = 666.

444555555444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444555555444² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444555555443) 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 191 ways as a sum of consecutive naturals, for example, 27992034 + ... + 28007910.

It is an arithmetic number, because the mean of its divisors is an integer number (2808659420).

Almost surely, 2^444555555444 is an apocalyptic number.

444555555444 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 444555555444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808893912960).

444555555444 is an abundant number, since it is smaller than the sum of its proper divisors (1173232270476).

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

444555555444 is a wasteful number, since it uses less digits than its factorization.

444555555444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15965 (or 15950 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 54.

It can be divided in two parts, 444555 and 555444, that added together give a palindrome (999999).

The spelling of 444555555444 in words is "four hundred forty-four billion, five hundred fifty-five million, five hundred fifty-five thousand, four hundred forty-four".