4220022400 has 192 divisors, whose sum is σ = 11494755360. Its totient is φ = 1518080000.

The previous prime is 4220022397. The next prime is 4220022407. The reversal of 4220022400 is 42200224.

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

It is not an unprimeable number, because it can be changed into a prime (4220022407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3554607 + ... + 3555793.

Almost surely, 2^4220022400 is an apocalyptic number.

4220022400 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 4220022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747377680).

4220022400 is an abundant number, since it is smaller than the sum of its proper divisors (7274732960).

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

4220022400 is a wasteful number, since it uses less digits than its factorization.

4220022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4220022400 is about 64961.6994851582. The cubic root of 4220022400 is about 1615.9884487623.

Adding to 4220022400 its reverse (42200224), we get a palindrome (4262222624).

4220022400 divided by its reverse (42200224) gives a square (100 = 10²).

The spelling of 4220022400 in words is "four billion, two hundred twenty million, twenty-two thousand, four hundred".