4413122400 has 144 divisors (see below), whose sum is σ = 15120907200. Its totient is φ = 1114882560.

The previous prime is 4413122393. The next prime is 4413122431. The reversal of 4413122400 is 42213144.

It is a congruent number.

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, 2790 + ... + 93989.

It is an arithmetic number, because the mean of its divisors is an integer number (105006300).

Almost surely, 2^4413122400 is an apocalyptic number.

4413122400 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 4413122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560453600).

4413122400 is an abundant number, since it is smaller than the sum of its proper divisors (10707784800).

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

4413122400 is a wasteful number, since it uses less digits than its factorization.

4413122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96821 (or 96808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4413122400 is about 66431.3359793404. The cubic root of 4413122400 is about 1640.2699337557.

Adding to 4413122400 its reverse (42213144), we get a palindrome (4455335544).

The spelling of 4413122400 in words is "four billion, four hundred thirteen million, one hundred twenty-two thousand, four hundred".