4022225280 has 384 divisors, whose sum is σ = 14689321920. Its totient is φ = 1012137984.

The previous prime is 4022225243. The next prime is 4022225309. The reversal of 4022225280 is 825222204.

4022225280 is a `hidden beast` number, since 402 + 2 + 2 + 252 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12850404 + ... + 12850716.

Almost surely, 2^4022225280 is an apocalyptic number.

4022225280 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 4022225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344660960).

4022225280 is an abundant number, since it is smaller than the sum of its proper divisors (10667096640).

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

4022225280 is a wasteful number, since it uses less digits than its factorization.

4022225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4022225280 is about 63421.0160751150. The cubic root of 4022225280 is about 1590.3356595255.

Adding to 4022225280 its reverse (825222204), we get a palindrome (4847447484).

The spelling of 4022225280 in words is "four billion, twenty-two million, two hundred twenty-five thousand, two hundred eighty".