441133615068608 has 112 divisors (see below), whose sum is σ = 1117994949566208. Its totient is φ = 167678282496000.

The previous prime is 441133615068569. The next prime is 441133615068611. The reversal of 441133615068608 is 806860516331144.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091453438 + ... + 1091857533.

It is an arithmetic number, because the mean of its divisors is an integer number (9982097763984).

Almost surely, 2^{441133615068608} is an apocalyptic number.

It is an amenable number.

441133615068608 is an abundant number, since it is smaller than the sum of its proper divisors (676861334497600).

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

441133615068608 is a wasteful number, since it uses less digits than its factorization.

441133615068608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183311042 (or 2183311032 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 441133615068608 in words is "four hundred forty-one trillion, one hundred thirty-three billion, six hundred fifteen million, sixty-eight thousand, six hundred eight".