441165311145 has 48 divisors (see below), whose sum is σ = 837466418880. Its totient is φ = 213507888768.

The previous prime is 441165311123. The next prime is 441165311149. The reversal of 441165311145 is 541113561144.

441165311145 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 6 + 531 + 114 + 5 = 666.

It is not a de Polignac number, because 441165311145 - 2⁸ = 441165310889 is a prime.

It is a super-2 number, since 2×441165311145² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441165311149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6356407 + ... + 6425436.

It is an arithmetic number, because the mean of its divisors is an integer number (17447217060).

Almost surely, 2^441165311145 is an apocalyptic number.

441165311145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441165311145 is a deficient number, since it is larger than the sum of its proper divisors (396301107735).

441165311145 is a wasteful number, since it uses less digits than its factorization.

441165311145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12781926 (or 12781923 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 441165311145 its reverse (541113561144), we get a palindrome (982278872289).

The spelling of 441165311145 in words is "four hundred forty-one billion, one hundred sixty-five million, three hundred eleven thousand, one hundred forty-five".