441865102444011 has 128 divisors (see below), whose sum is σ = 720469408665600. Its totient is φ = 270035015489568.

The previous prime is 441865102444009. The next prime is 441865102444121. The reversal of 441865102444011 is 110444201568144.

441865102444011 is a `hidden beast` number, since 4 + 4 + 1 + 86 + 510 + 2 + 4 + 4 + 40 + 11 = 666.

It is not a de Polignac number, because 441865102444011 - 2¹ = 441865102444009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441865102444211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190029760 + ... + 192340946.

It is an arithmetic number, because the mean of its divisors is an integer number (5628667255200).

Almost surely, 2^{441865102444011} is an apocalyptic number.

441865102444011 is a deficient number, since it is larger than the sum of its proper divisors (278604306221589).

441865102444011 is a wasteful number, since it uses less digits than its factorization.

441865102444011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311377 (or 2311359 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 441865102444011 in words is "four hundred forty-one trillion, eight hundred sixty-five billion, one hundred two million, four hundred forty-four thousand, eleven".