441463462245456 has 320 divisors, whose sum is σ = 1359220890009600. Its totient is φ = 120799107330048.

The previous prime is 441463462245361. The next prime is 441463462245479. The reversal of 441463462245456 is 654542264364144.

It is a self number, because there is not a number n which added to its sum of digits gives 441463462245456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1707243631 + ... + 1707502193.

It is an arithmetic number, because the mean of its divisors is an integer number (4247565281280).

Almost surely, 2^{441463462245456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441463462245456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679610445004800).

441463462245456 is an abundant number, since it is smaller than the sum of its proper divisors (917757427764144).

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

441463462245456 is a wasteful number, since it uses less digits than its factorization.

441463462245456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260026 (or 260020 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 60.

The spelling of 441463462245456 in words is "four hundred forty-one trillion, four hundred sixty-three billion, four hundred sixty-two million, two hundred forty-five thousand, four hundred fifty-six".