4114242720 has 336 divisors, whose sum is σ = 16658369280. Its totient is φ = 940211712.

The previous prime is 4114242707. The next prime is 4114242721. The reversal of 4114242720 is 272424114.

4114242720 is a `hidden beast` number, since 411 + 4 + 242 + 7 + 2 + 0 = 666.

4114242720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (4114242721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 813961 + ... + 818999.

It is an arithmetic number, because the mean of its divisors is an integer number (49578480).

Almost surely, 2^4114242720 is an apocalyptic number.

4114242720 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 4114242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329184640).

4114242720 is an abundant number, since it is smaller than the sum of its proper divisors (12544126560).

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

4114242720 is an equidigital number, since it uses as much as digits as its factorization.

4114242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4114242720 is about 64142.3629125089. The cubic root of 4114242720 is about 1602.3718364243.

Adding to 4114242720 its reverse (272424114), we get a palindrome (4386666834).

The spelling of 4114242720 in words is "four billion, one hundred fourteen million, two hundred forty-two thousand, seven hundred twenty".