441001320201 has 24 divisors (see below), whose sum is σ = 702733818696. Its totient is φ = 264766268160.

The previous prime is 441001320197. The next prime is 441001320217. The reversal of 441001320201 is 102023100144.

441001320201 is a `hidden beast` number, since 44 + 100 + 1 + 320 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3260295801 + 437741024400 = 57099^2 + 661620^2 .

It is not a de Polignac number, because 441001320201 - 2² = 441001320197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441001320101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45961570 + ... + 45971163.

It is an arithmetic number, because the mean of its divisors is an integer number (29280575779).

Almost surely, 2^441001320201 is an apocalyptic number.

441001320201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

441001320201 is a deficient number, since it is larger than the sum of its proper divisors (261732498495).

441001320201 is a wasteful number, since it uses less digits than its factorization.

441001320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91932793 (or 91932790 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 441001320201 its reverse (102023100144), we get a palindrome (543024420345).

It can be divided in two parts, 44100 and 1320201, that multiplied together give a square (58220864100 = 241290²).

The spelling of 441001320201 in words is "four hundred forty-one billion, one million, three hundred twenty thousand, two hundred one".