4413414304 has 96 divisors (see below), whose sum is σ = 9738973440. Its totient is φ = 1955546112.

The previous prime is 4413414301. The next prime is 4413414307. The reversal of 4413414304 is 4034143144.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4413414301) and next prime (4413414307).

It is not an unprimeable number, because it can be changed into a prime (4413414301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034127 + ... + 1038385.

It is an arithmetic number, because the mean of its divisors is an integer number (101447640).

Almost surely, 2^4413414304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4413414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869486720).

4413414304 is an abundant number, since it is smaller than the sum of its proper divisors (5325559136).

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

4413414304 is a wasteful number, since it uses less digits than its factorization.

4413414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4413414304 is about 66433.5329784590. The cubic root of 4413414304 is about 1640.3060979312.

Adding to 4413414304 its reverse (4034143144), we get a palindrome (8447557448).

The spelling of 4413414304 in words is "four billion, four hundred thirteen million, four hundred fourteen thousand, three hundred four".