4113030240 has 288 divisors, whose sum is σ = 15525802656. Its totient is φ = 983162880.

The previous prime is 4113030209. The next prime is 4113030253. The reversal of 4113030240 is 420303114.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1154542 + ... + 1158098.

It is an arithmetic number, because the mean of its divisors is an integer number (53909037).

Almost surely, 2^4113030240 is an apocalyptic number.

4113030240 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 4113030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762901328).

4113030240 is an abundant number, since it is smaller than the sum of its proper divisors (11412772416).

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

4113030240 is a wasteful number, since it uses less digits than its factorization.

4113030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4113030240 is about 64132.9107401184. The cubic root of 4113030240 is about 1602.2144129872.

Adding to 4113030240 its reverse (420303114), we get a palindrome (4533333354).

The spelling of 4113030240 in words is "four billion, one hundred thirteen million, thirty thousand, two hundred forty".