441045460058112 has 2592 divisors, whose sum is σ = 1686507434277120. Its totient is φ = 110525467852800.

The previous prime is 441045460058107. The next prime is 441045460058117. The reversal of 441045460058112 is 211850064540144.

441045460058112 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 4 + 5 + 4 + 60 + 0 + 581 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (441045460058107) and next prime (441045460058117).

It is not an unprimeable number, because it can be changed into a prime (441045460058117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2920830861237 + ... + 2920830861387.

It is an arithmetic number, because the mean of its divisors is an integer number (650658732360).

Almost surely, 2^{441045460058112} is an apocalyptic number.

441045460058112 is a gapful number since it is divisible by the number (42) 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 441045460058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843253717138560).

441045460058112 is an abundant number, since it is smaller than the sum of its proper divisors (1245461974219008).

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

441045460058112 is an equidigital number, since it uses as much as digits as its factorization.

441045460058112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 441045460058112 in words is "four hundred forty-one trillion, forty-five billion, four hundred sixty million, fifty-eight thousand, one hundred twelve".