4440130400 has 72 divisors (see below), whose sum is σ = 10859383080. Its totient is φ = 1772789760.

The previous prime is 4440130399. The next prime is 4440130423. The reversal of 4440130400 is 40310444.

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

It is a congruent number.

It is an unprimeable number.

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, 456791 + ... + 466409.

It is an arithmetic number, because the mean of its divisors is an integer number (150824765).

Almost surely, 2^4440130400 is an apocalyptic number.

4440130400 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 4440130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429691540).

4440130400 is an abundant number, since it is smaller than the sum of its proper divisors (6419252680).

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

4440130400 is a wasteful number, since it uses less digits than its factorization.

4440130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4440130400 is about 66634.3034780135. The cubic root of 4440130400 is about 1643.6092432494.

Adding to 4440130400 its reverse (40310444), we get a palindrome (4480440844).

The spelling of 4440130400 in words is "four billion, four hundred forty million, one hundred thirty thousand, four hundred".