4022853120 has 960 divisors, whose sum is σ = 17372013120. Its totient is φ = 875888640.

The previous prime is 4022853119. The next prime is 4022853137. The reversal of 4022853120 is 213582204.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108725742 + ... + 108725778.

It is an arithmetic number, because the mean of its divisors is an integer number (18095847).

Almost surely, 2^4022853120 is an apocalyptic number.

4022853120 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 4022853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686006560).

4022853120 is an abundant number, since it is smaller than the sum of its proper divisors (13349160000).

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

4022853120 is a wasteful number, since it uses less digits than its factorization.

4022853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4022853120 is about 63425.9656607607. The cubic root of 4022853120 is about 1590.4184018156.

The spelling of 4022853120 in words is "four billion, twenty-two million, eight hundred fifty-three thousand, one hundred twenty".