441046242640144 has 40 divisors (see below), whose sum is σ = 858821644536920. Its totient is φ = 219417096250368.

The previous prime is 441046242640141. The next prime is 441046242640177.

441046242640144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 28932694303744 + 412113548336400 = 5378912^2 + 20300580^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441046242640094 and 441046242640103.

It is not an unprimeable number, because it can be changed into a prime (441046242640141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 67036869 + ... + 73321444.

It is an arithmetic number, because the mean of its divisors is an integer number (21470541113423).

Almost surely, 2^{441046242640144} is an apocalyptic number.

It is an amenable number.

441046242640144 is a deficient number, since it is larger than the sum of its proper divisors (417775401896776).

441046242640144 is a wasteful number, since it uses less digits than its factorization.

441046242640144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140359307 (or 140359301 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 46.

The spelling of 441046242640144 in words is "four hundred forty-one trillion, forty-six billion, two hundred forty-two million, six hundred forty thousand, one hundred forty-four".