4123242024 has 64 divisors (see below), whose sum is σ = 11312663040. Its totient is φ = 1241972160.

The previous prime is 4123241977. The next prime is 4123242029. The reversal of 4123242024 is 4202423214.

It is a super-2 number, since 2×4123242024² = 34002249576959233152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4123241985 and 4123242003.

It is not an unprimeable number, because it can be changed into a prime (4123242029) 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, 2674 + ... + 90849.

It is an arithmetic number, because the mean of its divisors is an integer number (176760360).

Almost surely, 2^4123242024 is an apocalyptic number.

4123242024 is a gapful number since it is divisible by the number (44) 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 4123242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656331520).

4123242024 is an abundant number, since it is smaller than the sum of its proper divisors (7189421016).

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

4123242024 is a wasteful number, since it uses less digits than its factorization.

4123242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93710 (or 93706 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4123242024 is about 64212.4756102737. The cubic root of 4123242024 is about 1603.5393036001.

Adding to 4123242024 its reverse (4202423214), we get a palindrome (8325665238).

The spelling of 4123242024 in words is "four billion, one hundred twenty-three million, two hundred forty-two thousand, twenty-four".