441763882560 has 1344 divisors, whose sum is σ = 2130114551040. Its totient is φ = 84722319360.

The previous prime is 441763882543. The next prime is 441763882561. The reversal of 441763882560 is 65288367144.

It is a happy number.

441763882560 is a `hidden beast` number, since 4 + 4 + 1 + 7 + 6 + 388 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 441763882497 and 441763882506.

It is not an unprimeable number, because it can be changed into a prime (441763882561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60536832 + ... + 60544128.

It is an arithmetic number, because the mean of its divisors is an integer number (1584906660).

Almost surely, 2^441763882560 is an apocalyptic number.

441763882560 is a gapful number since it is divisible by the number (40) 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 441763882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065057275520).

441763882560 is an abundant number, since it is smaller than the sum of its proper divisors (1688350668480).

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

441763882560 is a wasteful number, since it uses less digits than its factorization.

441763882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7361 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 441763882560 in words is "four hundred forty-one billion, seven hundred sixty-three million, eight hundred eighty-two thousand, five hundred sixty".