4123414240 has 96 divisors (see below), whose sum is σ = 11089322496. Its totient is φ = 1434216960.

The previous prime is 4123414223. The next prime is 4123414249. The reversal of 4123414240 is 424143214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123414249) 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 15 ways as a sum of consecutive naturals, for example, 10452 + ... + 91411.

It is an arithmetic number, because the mean of its divisors is an integer number (115513776).

Almost surely, 2^4123414240 is an apocalyptic number.

4123414240 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 4123414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544661248).

4123414240 is an abundant number, since it is smaller than the sum of its proper divisors (6965908256).

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

4123414240 is a wasteful number, since it uses less digits than its factorization.

4123414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101912 (or 101904 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4123414240 is about 64213.8165817918. The cubic root of 4123414240 is about 1603.5616283693.

Adding to 4123414240 its reverse (424143214), we get a palindrome (4547557454).

The spelling of 4123414240 in words is "four billion, one hundred twenty-three million, four hundred fourteen thousand, two hundred forty".