4405130400 has 144 divisors (see below), whose sum is σ = 15642311328. Its totient is φ = 1067904000.

The previous prime is 4405130377. The next prime is 4405130417. The reversal of 4405130400 is 40315044.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57031 + ... + 109830.

It is an arithmetic number, because the mean of its divisors is an integer number (108627162).

Almost surely, 2^4405130400 is an apocalyptic number.

4405130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4405130400 is an abundant number, since it is smaller than the sum of its proper divisors (11237180928).

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

4405130400 is a wasteful number, since it uses less digits than its factorization.

4405130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166895 (or 166882 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4405130400 is about 66371.1563858880. The cubic root of 4405130400 is about 1639.2791795596.

Adding to 4405130400 its reverse (40315044), we get a palindrome (4445445444).

The spelling of 4405130400 in words is "four billion, four hundred five million, one hundred thirty thousand, four hundred".