4113424040 has 96 divisors (see below), whose sum is σ = 10771707240. Its totient is φ = 1407774720.

The previous prime is 4113424039. The next prime is 4113424043. The reversal of 4113424040 is 404243114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3895507396 + 217916644 = 62414^2 + 14762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4113423997 and 4113424015.

It is not an unprimeable number, because it can be changed into a prime (4113424043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57284 + ... + 107276.

Almost surely, 2^4113424040 is an apocalyptic number.

4113424040 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 4113424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385853620).

4113424040 is an abundant number, since it is smaller than the sum of its proper divisors (6658283200).

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

4113424040 is a wasteful number, since it uses less digits than its factorization.

4113424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50043 (or 50028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4113424040 is about 64135.9808531841. The cubic root of 4113424040 is about 1602.2655457582.

Adding to 4113424040 its reverse (404243114), we get a palindrome (4517667154).

The spelling of 4113424040 in words is "four billion, one hundred thirteen million, four hundred twenty-four thousand, forty".