441862813287168 has 1728 divisors, whose sum is σ = 1512452647157760. Its totient is φ = 113487386148864.

The previous prime is 441862813287127. The next prime is 441862813287191. The reversal of 441862813287168 is 861782318268144.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1439292551271 + ... + 1439292551577.

Almost surely, 2^{441862813287168} is an apocalyptic number.

441862813287168 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 441862813287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756226323578880).

441862813287168 is an abundant number, since it is smaller than the sum of its proper divisors (1070589833870592).

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

441862813287168 is a wasteful number, since it uses less digits than its factorization.

441862813287168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 801 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 69.

The spelling of 441862813287168 in words is "four hundred forty-one trillion, eight hundred sixty-two billion, eight hundred thirteen million, two hundred eighty-seven thousand, one hundred sixty-eight".