441241410320 has 20 divisors (see below), whose sum is σ = 1025886279180. Its totient is φ = 176496564096.

The previous prime is 441241410317. The next prime is 441241410349. The reversal of 441241410320 is 23014142144.

It can be written as a sum of positive squares in 2 ways, for example, as 226713108736 + 214528301584 = 476144^2 + 463172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 441241410320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2757758735 + ... + 2757758894.

It is an arithmetic number, because the mean of its divisors is an integer number (51294313959).

Almost surely, 2^441241410320 is an apocalyptic number.

441241410320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441241410320 is an abundant number, since it is smaller than the sum of its proper divisors (584644868860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441241410320 is a wasteful number, since it uses less digits than its factorization.

441241410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515517642 (or 5515517636 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 441241410320 its reverse (23014142144), we get a palindrome (464255552464).

The spelling of 441241410320 in words is "four hundred forty-one billion, two hundred forty-one million, four hundred ten thousand, three hundred twenty".