4401130400 has 72 divisors (see below), whose sum is σ = 10810495584. Its totient is φ = 1749600000.

The previous prime is 4401130399. The next prime is 4401130403. The reversal of 4401130400 is 40311044.

It is a super-5 number, since 5×4401130400⁵ (a number of 49 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (4401130403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113525 + ... + 147275.

It is an arithmetic number, because the mean of its divisors is an integer number (150145772).

Almost surely, 2^4401130400 is an apocalyptic number.

4401130400 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 4401130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405247792).

4401130400 is an abundant number, since it is smaller than the sum of its proper divisors (6409365184).

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

4401130400 is a wasteful number, since it uses less digits than its factorization.

4401130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33934 (or 33921 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4401130400 is about 66341.0159705140. The cubic root of 4401130400 is about 1638.7828565744.

Adding to 4401130400 its reverse (40311044), we get a palindrome (4441441444).

The spelling of 4401130400 in words is "four billion, four hundred one million, one hundred thirty thousand, four hundred".