441362432974848 has 1792 divisors, whose sum is σ = 1613727911577600. Its totient is φ = 104111894691840.

The previous prime is 441362432974733. The next prime is 441362432974849. The reversal of 441362432974848 is 848479234263144.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-3 number, since 3×441362432974848³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441362432974849) 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 127 ways as a sum of consecutive naturals, for example, 269616635086 + ... + 269616636722.

It is an arithmetic number, because the mean of its divisors is an integer number (900517807800).

Almost surely, 2^{441362432974848} is an apocalyptic number.

441362432974848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441362432974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806863955788800).

441362432974848 is an abundant number, since it is smaller than the sum of its proper divisors (1172365478602752).

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

441362432974848 is a wasteful number, since it uses less digits than its factorization.

441362432974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1706 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 69.

The spelling of 441362432974848 in words is "four hundred forty-one trillion, three hundred sixty-two billion, four hundred thirty-two million, nine hundred seventy-four thousand, eight hundred forty-eight".