4222420400 has 120 divisors (see below), whose sum is σ = 11232537024. Its totient is φ = 1512403200.

The previous prime is 4222420343. The next prime is 4222420403. The reversal of 4222420400 is 40242224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4222420403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 287639 + ... + 301961.

Almost surely, 2^4222420400 is an apocalyptic number.

4222420400 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 4222420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616268512).

4222420400 is an abundant number, since it is smaller than the sum of its proper divisors (7010116624).

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

4222420400 is a wasteful number, since it uses less digits than its factorization.

4222420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4222420400 is about 64980.1538933235. The cubic root of 4222420400 is about 1616.2944824083.

Adding to 4222420400 its reverse (40242224), we get a palindrome (4262662624).

The spelling of 4222420400 in words is "four billion, two hundred twenty-two million, four hundred twenty thousand, four hundred".