441730853568 has 280 divisors, whose sum is σ = 1330069171200. Its totient is φ = 144934313472.

The previous prime is 441730853539. The next prime is 441730853587. The reversal of 441730853568 is 865358037144.

441730853568 is a `hidden beast` number, since 4 + 4 + 1 + 73 + 0 + 8 + 5 + 3 + 568 = 666.

It is a super-2 number, since 2×441730853568² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150298243 + ... + 150301181.

It is an arithmetic number, because the mean of its divisors is an integer number (4750247040).

Almost surely, 2^441730853568 is an apocalyptic number.

441730853568 is a gapful number since it is divisible by the number (48) 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 441730853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665034585600).

441730853568 is an abundant number, since it is smaller than the sum of its proper divisors (888338317632).

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

441730853568 is a wasteful number, since it uses less digits than its factorization.

441730853568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 441730853568 in words is "four hundred forty-one billion, seven hundred thirty million, eight hundred fifty-three thousand, five hundred sixty-eight".