441167105028168 has 192 divisors, whose sum is σ = 1261542298161600. Its totient is φ = 138891849707520.

The previous prime is 441167105028127. The next prime is 441167105028241. The reversal of 441167105028168 is 861820501761144.

441167105028168 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 6 + 71 + 0 + 502 + 8 + 1 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7783304788 + ... + 7783361468.

It is an arithmetic number, because the mean of its divisors is an integer number (6570532802925).

Almost surely, 2^{441167105028168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441167105028168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630771149080800).

441167105028168 is an abundant number, since it is smaller than the sum of its proper divisors (820375193133432).

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

441167105028168 is a wasteful number, since it uses less digits than its factorization.

441167105028168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73932 (or 73925 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 441167105028168 in words is "four hundred forty-one trillion, one hundred sixty-seven billion, one hundred five million, twenty-eight thousand, one hundred sixty-eight".