4124818080 has 288 divisors, whose sum is σ = 14688221184. Its totient is φ = 1093118976.

The previous prime is 4124818039. The next prime is 4124818081. The reversal of 4124818080 is 808184214.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (4124818081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10769569 + ... + 10769951.

It is an arithmetic number, because the mean of its divisors is an integer number (51000768).

Almost surely, 2^4124818080 is an apocalyptic number.

4124818080 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 4124818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344110592).

4124818080 is an abundant number, since it is smaller than the sum of its proper divisors (10563403104).

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

4124818080 is a wasteful number, since it uses less digits than its factorization.

4124818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 4124818080 is about 64224.7466324313. The cubic root of 4124818080 is about 1603.7435883020.

The spelling of 4124818080 in words is "four billion, one hundred twenty-four million, eight hundred eighteen thousand, eighty".