444042240444 has 72 divisors (see below), whose sum is σ = 1230891217920. Its totient is φ = 133853738400.

The previous prime is 444042240431. The next prime is 444042240461.

444042240444 is a `hidden beast` number, since 4 + 4 + 404 + 2 + 240 + 4 + 4 + 4 = 666.

444042240444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444042240444² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444042240399 and 444042240408.

It is a congruent number.

It is an unprimeable number.

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, 2859754 + ... + 3011025.

It is an arithmetic number, because the mean of its divisors is an integer number (17095711360).

Almost surely, 2^444042240444 is an apocalyptic number.

444042240444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444042240444 is an abundant number, since it is smaller than the sum of its proper divisors (786848977476).

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

444042240444 is a wasteful number, since it uses less digits than its factorization.

444042240444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870991 (or 5870986 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 444042 and 240444, that added together give a palindrome (684486).

The spelling of 444042240444 in words is "four hundred forty-four billion, forty-two million, two hundred forty thousand, four hundred forty-four".