444331242133444 has 24 divisors (see below), whose sum is σ = 785379255109848. Its totient is φ = 219937733798400.

The previous prime is 444331242133403. The next prime is 444331242133453.

444331242133444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 343483653689344 + 100847588444100 = 18533312^2 + 10042290^2 .

It is a super-2 number, since 2×444331242133444² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444331242133394 and 444331242133403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67416867 + ... + 73713610.

It is an arithmetic number, because the mean of its divisors is an integer number (32724135629577).

Almost surely, 2^{444331242133444} is an apocalyptic number.

It is an amenable number.

444331242133444 is a deficient number, since it is larger than the sum of its proper divisors (341048012976404).

444331242133444 is a wasteful number, since it uses less digits than its factorization.

444331242133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141138375 (or 141138373 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

The spelling of 444331242133444 in words is "four hundred forty-four trillion, three hundred thirty-one billion, two hundred forty-two million, one hundred thirty-three thousand, four hundred forty-four".