4005331013444 has 12 divisors (see below), whose sum is σ = 7014200256000. Its totient is φ = 2001273797448.

The previous prime is 4005331013413. The next prime is 4005331013449. The reversal of 4005331013444 is 4443101335004.

It is a super-2 number, since 2×4005331013444² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4005331013444.

It is not an unprimeable number, because it can be changed into a prime (4005331013449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 347920844 + ... + 347932355.

It is an arithmetic number, because the mean of its divisors is an integer number (584516688000).

Almost surely, 2^{4005331013444} is an apocalyptic number.

It is an amenable number.

4005331013444 is a deficient number, since it is larger than the sum of its proper divisors (3008869242556).

4005331013444 is a wasteful number, since it uses less digits than its factorization.

4005331013444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695854642 (or 695854640 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 4005331013444 its reverse (4443101335004), we get a palindrome (8448432348448).

The spelling of 4005331013444 in words is "four trillion, five billion, three hundred thirty-one million, thirteen thousand, four hundred forty-four".