4413225600 has 384 divisors, whose sum is σ = 18461020800. Its totient is φ = 1008599040.

The previous prime is 4413225559. The next prime is 4413225611. The reversal of 4413225600 is 65223144.

4413225600 is a `hidden beast` number, since 4 + 4 + 1 + 32 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601152 + ... + 608448.

It is an arithmetic number, because the mean of its divisors is an integer number (48075575).

Almost surely, 2^4413225600 is an apocalyptic number.

4413225600 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 4413225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230510400).

4413225600 is an abundant number, since it is smaller than the sum of its proper divisors (14047795200).

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

4413225600 is a wasteful number, since it uses less digits than its factorization.

4413225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4413225600 is about 66432.1127166674. The cubic root of 4413225600 is about 1640.2827194528.

Adding to 4413225600 its reverse (65223144), we get a palindrome (4478448744).

The spelling of 4413225600 in words is "four billion, four hundred thirteen million, two hundred twenty-five thousand, six hundred".