441517125226048 has 56 divisors (see below), whose sum is σ = 896676320387232. Its totient is φ = 215584830096384.

The previous prime is 441517125225941. The next prime is 441517125226081. The reversal of 441517125226048 is 840622521715144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 441517125225986 and 441517125226004.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99111 + ... + 29716057.

It is an arithmetic number, because the mean of its divisors is an integer number (16012077149772).

Almost surely, 2^{441517125226048} 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 441517125226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448338160193616).

441517125226048 is an abundant number, since it is smaller than the sum of its proper divisors (455159195161184).

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

441517125226048 is a wasteful number, since it uses less digits than its factorization.

441517125226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29622419 (or 29622409 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 52.

The spelling of 441517125226048 in words is "four hundred forty-one trillion, five hundred seventeen billion, one hundred twenty-five million, two hundred twenty-six thousand, forty-eight".