4113224040 has 64 divisors (see below), whose sum is σ = 12345364800. Its totient is φ = 1096353792.

The previous prime is 4113224009. The next prime is 4113224041. The reversal of 4113224040 is 404223114.

4113224040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4113224040² = 33837224006467843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4113223998 and 4113224016.

It is not an unprimeable number, because it can be changed into a prime (4113224041) 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, 304551 + ... + 317769.

It is an arithmetic number, because the mean of its divisors is an integer number (192896325).

Almost surely, 2^4113224040 is an apocalyptic number.

4113224040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113224040 is an abundant number, since it is smaller than the sum of its proper divisors (8232140760).

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

4113224040 is a wasteful number, since it uses less digits than its factorization.

4113224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15826 (or 15822 counting only the distinct ones).

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

The square root of 4113224040 is about 64134.4216470376. The cubic root of 4113224040 is about 1602.2395772626.

Adding to 4113224040 its reverse (404223114), we get a palindrome (4517447154).

The spelling of 4113224040 in words is "four billion, one hundred thirteen million, two hundred twenty-four thousand, forty".