4124840000 has 140 divisors (see below), whose sum is σ = 10339649628. Its totient is φ = 1632000000.

The previous prime is 4124839997. The next prime is 4124840023. The reversal of 4124840000 is 484214.

It can be written as a sum of positive squares in 10 ways, for example, as 1854508096 + 2270331904 = 43064^2 + 47648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4039490 + ... + 4040510.

Almost surely, 2^4124840000 is an apocalyptic number.

4124840000 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 4124840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169824814).

4124840000 is an abundant number, since it is smaller than the sum of its proper divisors (6214809628).

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

4124840000 is a wasteful number, since it uses less digits than its factorization.

4124840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4124840000 is about 64224.9172829362. The cubic root of 4124840000 is about 1603.7464291543.

The spelling of 4124840000 in words is "four billion, one hundred twenty-four million, eight hundred forty thousand".