4113218340 has 864 divisors, whose sum is σ = 17792974080. Its totient is φ = 769443840.

The previous prime is 4113218321. The next prime is 4113218341. The reversal of 4113218340 is 438123114.

4113218340 is a `hidden beast` number, since 411 + 3 + 218 + 34 + 0 = 666.

It is a super-2 number, since 2×4113218340² = 33837130225024711200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113218341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 178835569 + ... + 178835591.

It is an arithmetic number, because the mean of its divisors is an integer number (20593720).

Almost surely, 2^4113218340 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 4113218340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896487040).

4113218340 is an abundant number, since it is smaller than the sum of its proper divisors (13679755740).

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

4113218340 is a wasteful number, since it uses less digits than its factorization.

4113218340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4113218340 is about 64134.3772091068. The cubic root of 4113218340 is about 1602.2388371481.

The spelling of 4113218340 in words is "four billion, one hundred thirteen million, two hundred eighteen thousand, three hundred forty".