4021444200 has 192 divisors, whose sum is σ = 13057914240. Its totient is φ = 1021870080.

The previous prime is 4021444121. The next prime is 4021444201. The reversal of 4021444200 is 24441204.

It is not an unprimeable number, because it can be changed into a prime (4021444201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5975064 + ... + 5975736.

It is an arithmetic number, because the mean of its divisors is an integer number (68009970).

Almost surely, 2^4021444200 is an apocalyptic number.

4021444200 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 4021444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528957120).

4021444200 is an abundant number, since it is smaller than the sum of its proper divisors (9036470040).

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

4021444200 is a wasteful number, since it uses less digits than its factorization.

4021444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4021444200 is about 63414.8578804684. The cubic root of 4021444200 is about 1590.2327098972.

Adding to 4021444200 its reverse (24441204), we get a palindrome (4045885404).

The spelling of 4021444200 in words is "four billion, twenty-one million, four hundred forty-four thousand, two hundred".