441435102541006 has 160 divisors (see below), whose sum is σ = 789540394521600. Its totient is φ = 185055983985600.

The previous prime is 441435102541001. The next prime is 441435102541007. The reversal of 441435102541006 is 600145201534144.

It is a super-2 number, since 2×441435102541006² (a number of 30 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 441435102541006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441435102541001) 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 79 ways as a sum of consecutive naturals, for example, 21710268816 + ... + 21710289148.

It is an arithmetic number, because the mean of its divisors is an integer number (4934627465760).

Almost surely, 2^{441435102541006} is an apocalyptic number.

441435102541006 is a deficient number, since it is larger than the sum of its proper divisors (348105291980594).

441435102541006 is a wasteful number, since it uses less digits than its factorization.

441435102541006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20972 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 441435102541006 in words is "four hundred forty-one trillion, four hundred thirty-five billion, one hundred two million, five hundred forty-one thousand, six".