4022166505120 has 48 divisors (see below), whose sum is σ = 9609136586280. Its totient is φ = 1590789443584.

The previous prime is 4022166505111. The next prime is 4022166505169. The reversal of 4022166505120 is 215056612204.

4022166505120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1230954746256 + 2791211758864 = 1109484^2 + 1670692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141213517 + ... + 141241996.

Almost surely, 2^{4022166505120} is an apocalyptic number.

4022166505120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022166505120 is an abundant number, since it is smaller than the sum of its proper divisors (5586970081160).

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

4022166505120 is a wasteful number, since it uses less digits than its factorization.

4022166505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282455617 (or 282455609 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 4022166505120 in words is "four trillion, twenty-two billion, one hundred sixty-six million, five hundred five thousand, one hundred twenty".