4440422400 has 144 divisors (see below), whose sum is σ = 14679919800. Its totient is φ = 1184071680.

The previous prime is 4440422359. The next prime is 4440422407. The reversal of 4440422400 is 42240444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440422407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139146 + ... + 168054.

Almost surely, 2^4440422400 is an apocalyptic number.

4440422400 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 4440422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339959900).

4440422400 is an abundant number, since it is smaller than the sum of its proper divisors (10239497400).

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

4440422400 is a wasteful number, since it uses less digits than its factorization.

4440422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28944 (or 28919 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4440422400 is about 66636.4945056386. The cubic root of 4440422400 is about 1643.6452724749.

Adding to 4440422400 its reverse (42240444), we get a palindrome (4482662844).

The spelling of 4440422400 in words is "four billion, four hundred forty million, four hundred twenty-two thousand, four hundred".