441691003275648 has 128 divisors (see below), whose sum is σ = 1341059330526720. Its totient is φ = 126177510260736.

The previous prime is 441691003275647. The next prime is 441691003275661. The reversal of 441691003275648 is 846572300196144.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 441691003275591 and 441691003275600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441691003275647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4068765 + ... + 29998947.

It is an arithmetic number, because the mean of its divisors is an integer number (10477026019740).

It is a 1-persistent number, because it is pandigital, but 2⋅441691003275648 = 883382006551296 is not.

Almost surely, 2^{441691003275648} is an apocalyptic number.

441691003275648 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 441691003275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670529665263360).

441691003275648 is an abundant number, since it is smaller than the sum of its proper divisors (899368327251072).

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

441691003275648 is a wasteful number, since it uses less digits than its factorization.

441691003275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25936544 (or 25936532 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 441691003275648 in words is "four hundred forty-one trillion, six hundred ninety-one billion, three million, two hundred seventy-five thousand, six hundred forty-eight".