4413030400 has 96 divisors (see below), whose sum is σ = 10946179980. Its totient is φ = 1764884480.

The previous prime is 4413030397. The next prime is 4413030431. The reversal of 4413030400 is 40303144.

It is a super-2 number, since 2×4413030400² = 38949674622648320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 816507 + ... + 821893.

Almost surely, 2^4413030400 is an apocalyptic number.

4413030400 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 4413030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473089990).

4413030400 is an abundant number, since it is smaller than the sum of its proper divisors (6533149580).

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

4413030400 is an frugal number, since it uses more digits than its factorization.

4413030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4413030400 is about 66430.6435314306. The cubic root of 4413030400 is about 1640.2585354857.

Adding to 4413030400 its reverse (40303144), we get a palindrome (4453333544).

The spelling of 4413030400 in words is "four billion, four hundred thirteen million, thirty thousand, four hundred".