4022211424 has 192 divisors, whose sum is σ = 10547615232. Its totient is φ = 1461657600.

The previous prime is 4022211419. The next prime is 4022211433. The reversal of 4022211424 is 4241122204.

It is a super-2 number, since 2×4022211424² = 32356369478712215552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4022211395 and 4022211404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5486962 + ... + 5487694.

It is an arithmetic number, because the mean of its divisors is an integer number (54935496).

Almost surely, 2^4022211424 is an apocalyptic number.

4022211424 is a gapful number since it is divisible by the number (44) 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 4022211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273807616).

4022211424 is an abundant number, since it is smaller than the sum of its proper divisors (6525403808).

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

4022211424 is a wasteful number, since it uses less digits than its factorization.

4022211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4022211424 is about 63420.9068367837. The cubic root of 4022211424 is about 1590.3338333625. Note that the first 3 decimals are identical.

Adding to 4022211424 its reverse (4241122204), we get a palindrome (8263333628).

The spelling of 4022211424 in words is "four billion, twenty-two million, two hundred eleven thousand, four hundred twenty-four".