441806536991808 has 168 divisors, whose sum is σ = 1275095539562520. Its totient is φ = 146253794918400.

The previous prime is 441806536991801. The next prime is 441806536991879. The reversal of 441806536991808 is 808199635608144.

441806536991808 is a `hidden beast` number, since 4 + 4 + 1 + 8 + 0 + 6 + 536 + 9 + 9 + 1 + 80 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36708475797504 + 405098061194304 = 6058752^2 + 20127048^2 .

It is a super-2 number, since 2×441806536991808² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (441806536991801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 170626248 + ... + 173196216.

Almost surely, 2^{441806536991808} is an apocalyptic number.

441806536991808 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 441806536991808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637547769781260).

441806536991808 is an abundant number, since it is smaller than the sum of its proper divisors (833289002570712).

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

441806536991808 is a wasteful number, since it uses less digits than its factorization.

441806536991808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572045 (or 2572032 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 441806536991808 in words is "four hundred forty-one trillion, eight hundred six billion, five hundred thirty-six million, nine hundred ninety-one thousand, eight hundred eight".