441145304304 has 160 divisors (see below), whose sum is σ = 1176524697600. Its totient is φ = 142372089600.

The previous prime is 441145304287. The next prime is 441145304321. The reversal of 441145304304 is 403403541144.

441145304304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (441145304287) and next prime (441145304321).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99109279 + ... + 99113729.

It is an arithmetic number, because the mean of its divisors is an integer number (7353279360).

Almost surely, 2^441145304304 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 441145304304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588262348800).

441145304304 is an abundant number, since it is smaller than the sum of its proper divisors (735379393296).

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

441145304304 is a wasteful number, since it uses less digits than its factorization.

441145304304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 441145304304 its reverse (403403541144), we get a palindrome (844548845448).

The spelling of 441145304304 in words is "four hundred forty-one billion, one hundred forty-five million, three hundred four thousand, three hundred four".