4241422400 has 84 divisors (see below), whose sum is σ = 10491947520. Its totient is φ = 1687564800.

The previous prime is 4241422397. The next prime is 4241422403. The reversal of 4241422400 is 42241424.

It is an interprime number because it is at equal distance from previous prime (4241422397) and next prime (4241422403).

It is not an unprimeable number, because it can be changed into a prime (4241422403) 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 11 ways as a sum of consecutive naturals, for example, 298661 + ... + 312539.

Almost surely, 2^4241422400 is an apocalyptic number.

4241422400 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 4241422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245973760).

4241422400 is an abundant number, since it is smaller than the sum of its proper divisors (6250525120).

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

4241422400 is a wasteful number, since it uses less digits than its factorization.

4241422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 14077 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4241422400 is about 65126.2036357103. The cubic root of 4241422400 is about 1618.7154375133.

Adding to 4241422400 its reverse (42241424), we get a palindrome (4283663824).

The spelling of 4241422400 in words is "four billion, two hundred forty-one million, four hundred twenty-two thousand, four hundred".