444331041313201 has 16 divisors (see below), whose sum is σ = 508530279531520. Its totient is φ = 380312720318160.

The previous prime is 444331041313039. The next prime is 444331041313279. The reversal of 444331041313201 is 102313140133444.

It is not a de Polignac number, because 444331041313201 - 2¹¹ = 444331041311153 is a prime.

It is a super-3 number, since 3×444331041313201³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444331041313001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69737110 + ... + 75841456.

It is an arithmetic number, because the mean of its divisors is an integer number (31783142470720).

Almost surely, 2^{444331041313201} is an apocalyptic number.

It is an amenable number.

444331041313201 is a deficient number, since it is larger than the sum of its proper divisors (64199238218319).

444331041313201 is a wasteful number, since it uses less digits than its factorization.

444331041313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119164.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 444331041313201 its reverse (102313140133444), we get a palindrome (546644181446645).

The spelling of 444331041313201 in words is "four hundred forty-four trillion, three hundred thirty-one billion, forty-one million, three hundred thirteen thousand, two hundred one".