4221441400 has 48 divisors (see below), whose sum is σ = 10707116040. Its totient is φ = 1535068800.

The previous prime is 4221441383. The next prime is 4221441403. The reversal of 4221441400 is 41441224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221441403) 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 11 ways as a sum of consecutive naturals, for example, 957219 + ... + 961618.

Almost surely, 2^4221441400 is an apocalyptic number.

4221441400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221441400 is an abundant number, since it is smaller than the sum of its proper divisors (6485674640).

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

4221441400 is a wasteful number, since it uses less digits than its factorization.

4221441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918864 (or 1918855 counting only the distinct ones).

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

The square root of 4221441400 is about 64972.6203873601. The cubic root of 4221441400 is about 1616.1695560661.

Adding to 4221441400 its reverse (41441224), we get a palindrome (4262882624).

The spelling of 4221441400 in words is "four billion, two hundred twenty-one million, four hundred forty-one thousand, four hundred".