4022182960 has 160 divisors (see below), whose sum is σ = 10380764160. Its totient is φ = 1442479104.

The previous prime is 4022182951. The next prime is 4022182961. The reversal of 4022182960 is 692812204.

It is not an unprimeable number, because it can be changed into a prime (4022182961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3600322 + ... + 3601438.

It is an arithmetic number, because the mean of its divisors is an integer number (64879776).

Almost surely, 2^4022182960 is an apocalyptic number.

4022182960 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 4022182960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190382080).

4022182960 is an abundant number, since it is smaller than the sum of its proper divisors (6358581200).

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

4022182960 is a wasteful number, since it uses less digits than its factorization.

4022182960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 4022182960 is about 63420.6824308916. The cubic root of 4022182960 is about 1590.3300819130.

The spelling of 4022182960 in words is "four billion, twenty-two million, one hundred eighty-two thousand, nine hundred sixty".