4441220431335 has 128 divisors (see below), whose sum is σ = 8341056000000. Its totient is φ = 2238776451072.

The previous prime is 4441220431279. The next prime is 4441220431367. The reversal of 4441220431335 is 5331340221444.

4441220431335 is a `hidden beast` number, since 4 + 4 + 412 + 204 + 3 + 1 + 3 + 35 = 666.

4441220431335 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4441220431335 - 2¹¹ = 4441220429287 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4441220431335.

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 127 ways as a sum of consecutive naturals, for example, 55165191 + ... + 55245639.

It is an arithmetic number, because the mean of its divisors is an integer number (65164500000).

Almost surely, 2^{4441220431335} is an apocalyptic number.

4441220431335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4441220431335 is a deficient number, since it is larger than the sum of its proper divisors (3899835568665).

4441220431335 is a wasteful number, since it uses less digits than its factorization.

4441220431335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80790 (or 80784 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 4441220431335 its reverse (5331340221444), we get a palindrome (9772560652779).

The spelling of 4441220431335 in words is "four trillion, four hundred forty-one billion, two hundred twenty million, four hundred thirty-one thousand, three hundred thirty-five".