441485550518112 has 288 divisors, whose sum is σ = 1336254804874080. Its totient is φ = 141803409715200.

The previous prime is 441485550518063. The next prime is 441485550518249. The reversal of 441485550518112 is 211815055584144.

441485550518112 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 8 + 5 + 5 + 5 + 0 + 518 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192319812 + ... + 194601852.

It is an arithmetic number, because the mean of its divisors is an integer number (4639773628035).

Almost surely, 2^{441485550518112} 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 441485550518112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668127402437040).

441485550518112 is an abundant number, since it is smaller than the sum of its proper divisors (894769254355968).

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

441485550518112 is a wasteful number, since it uses less digits than its factorization.

441485550518112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282355 (or 2282310 counting only the distinct ones).

The product of its (nonzero) digits is 5120000, while the sum is 54.

The spelling of 441485550518112 in words is "four hundred forty-one trillion, four hundred eighty-five billion, five hundred fifty million, five hundred eighteen thousand, one hundred twelve".