4022166560 has 96 divisors (see below), whose sum is σ = 9620502192. Its totient is φ = 1589002240.

The previous prime is 4022166559. The next prime is 4022166569. The reversal of 4022166560 is 656612204.

It can be written as a sum of positive squares in 8 ways, for example, as 1697769616 + 2324396944 = 41204^2 + 48212^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4022166569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6159194 + ... + 6159846.

Almost surely, 2^4022166560 is an apocalyptic number.

4022166560 is a gapful number since it is divisible by the number (40) 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 4022166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810251096).

4022166560 is an abundant number, since it is smaller than the sum of its proper divisors (5598335632).

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

4022166560 is a wasteful number, since it uses less digits than its factorization.

4022166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 4022166560 is about 63420.5531353993. The cubic root of 4022166560 is about 1590.3279204459.

Adding to 4022166560 its reverse (656612204), we get a palindrome (4678778764).

The spelling of 4022166560 in words is "four billion, twenty-two million, one hundred sixty-six thousand, five hundred sixty".