444431434005 has 96 divisors (see below), whose sum is σ = 837192291936. Its totient is φ = 216803837952.

The previous prime is 444431433991. The next prime is 444431434037. The reversal of 444431434005 is 500434134444.

It can be written as a sum of positive squares in 16 ways, for example, as 354938318289 + 89493115716 = 595767^2 + 299154^2 .

It is not a de Polignac number, because 444431434005 - 2¹⁵ = 444431401237 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 34251699 + ... + 34264671.

It is an arithmetic number, because the mean of its divisors is an integer number (8720753041).

Almost surely, 2^444431434005 is an apocalyptic number.

444431434005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444431434005 is a deficient number, since it is larger than the sum of its proper divisors (392760857931).

444431434005 is a wasteful number, since it uses less digits than its factorization.

444431434005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13527 (or 13524 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 444431434005 its reverse (500434134444), we get a palindrome (944865568449).

It can be divided in two parts, 4444 and 31434005, that added together give a square (31438449 = 5607²).

The spelling of 444431434005 in words is "four hundred forty-four billion, four hundred thirty-one million, four hundred thirty-four thousand, five".