441560747065144 has 64 divisors (see below), whose sum is σ = 965517270912000. Its totient is φ = 189239255245152.

The previous prime is 441560747065079. The next prime is 441560747065159.

It is a happy number.

441560747065144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 665931037 + ... + 666593779.

It is an arithmetic number, because the mean of its divisors is an integer number (15086207358000).

Almost surely, 2^{441560747065144} is an apocalyptic number.

It is an amenable number.

441560747065144 is an abundant number, since it is smaller than the sum of its proper divisors (523956523846856).

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

441560747065144 is a wasteful number, since it uses less digits than its factorization.

441560747065144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905577 (or 905559 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 58.

The spelling of 441560747065144 in words is "four hundred forty-one trillion, five hundred sixty billion, seven hundred forty-seven million, sixty-five thousand, one hundred forty-four".