4022632320 has 256 divisors, whose sum is σ = 14729126400. Its totient is φ = 914743296.

The previous prime is 4022632309. The next prime is 4022632321. The reversal of 4022632320 is 232362204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022632321) 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, 3077107 + ... + 3078413.

It is an arithmetic number, because the mean of its divisors is an integer number (57535650).

Almost surely, 2^4022632320 is an apocalyptic number.

4022632320 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 4022632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364563200).

4022632320 is an abundant number, since it is smaller than the sum of its proper divisors (10706494080).

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

4022632320 is a wasteful number, since it uses less digits than its factorization.

4022632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4022632320 is about 63424.2250248279. The cubic root of 4022632320 is about 1590.3893038266.

Adding to 4022632320 its reverse (232362204), we get a palindrome (4254994524).

The spelling of 4022632320 in words is "four billion, twenty-two million, six hundred thirty-two thousand, three hundred twenty".