4124114320 has 80 divisors (see below), whose sum is σ = 10191245040. Its totient is φ = 1546698752.

The previous prime is 4124114297. The next prime is 4124114327. The reversal of 4124114320 is 234114214.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 398721024 + 3725393296 = 19968^2 + 61036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4124114291 and 4124114300.

It is not an unprimeable number, because it can be changed into a prime (4124114327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360204 + ... + 371476.

It is an arithmetic number, because the mean of its divisors is an integer number (127390563).

Almost surely, 2^4124114320 is an apocalyptic number.

4124114320 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 4124114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095622520).

4124114320 is an abundant number, since it is smaller than the sum of its proper divisors (6067130720).

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

4124114320 is a wasteful number, since it uses less digits than its factorization.

4124114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572 (or 11566 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4124114320 is about 64219.2675137299. The cubic root of 4124114320 is about 1603.6523750040.

Adding to 4124114320 its reverse (234114214), we get a palindrome (4358228534).

The spelling of 4124114320 in words is "four billion, one hundred twenty-four million, one hundred fourteen thousand, three hundred twenty".