4413113442504 has 192 divisors, whose sum is σ = 13132786867200. Its totient is φ = 1330396973568.

The previous prime is 4413113442481. The next prime is 4413113442509. The reversal of 4413113442504 is 4052443113144.

It is a happy number.

4413113442504 is a `hidden beast` number, since 4 + 4 + 13 + 1 + 134 + 4 + 2 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4413113442509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35606289 + ... + 35730015.

It is an arithmetic number, because the mean of its divisors is an integer number (68399931600).

Almost surely, 2^{4413113442504} 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 4413113442504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566393433600).

4413113442504 is an abundant number, since it is smaller than the sum of its proper divisors (8719673424696).

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

4413113442504 is a wasteful number, since it uses less digits than its factorization.

4413113442504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124524 (or 124517 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4413113442504 its reverse (4052443113144), we get a palindrome (8465556555648).

The spelling of 4413113442504 in words is "four trillion, four hundred thirteen billion, one hundred thirteen million, four hundred forty-two thousand, five hundred four".