4022005120 has 128 divisors (see below), whose sum is σ = 11567289600. Its totient is φ = 1306368000.

The previous prime is 4022005093. The next prime is 4022005181. The reversal of 4022005120 is 215002204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4022005094 and 4022005103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61495 + ... + 108745.

It is an arithmetic number, because the mean of its divisors is an integer number (90369450).

Almost surely, 2^4022005120 is an apocalyptic number.

4022005120 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 4022005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783644800).

4022005120 is an abundant number, since it is smaller than the sum of its proper divisors (7545284480).

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

4022005120 is a wasteful number, since it uses less digits than its factorization.

4022005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47296 (or 47284 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4022005120 is about 63419.2803491178. The cubic root of 4022005120 is about 1590.3066428608.

Adding to 4022005120 its reverse (215002204), we get a palindrome (4237007324).

The spelling of 4022005120 in words is "four billion, twenty-two million, five thousand, one hundred twenty".