4124231200 has 288 divisors, whose sum is σ = 11339274240. Its totient is φ = 1457280000.

The previous prime is 4124231191. The next prime is 4124231213. The reversal of 4124231200 is 21324214.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16431075 + ... + 16431325.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 2^4124231200 is an apocalyptic number.

4124231200 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 4124231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669637120).

4124231200 is an abundant number, since it is smaller than the sum of its proper divisors (7215043040).

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

4124231200 is a wasteful number, since it uses less digits than its factorization.

4124231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4124231200 is about 64220.1775145476. The cubic root of 4124231200 is about 1603.6675243673.

Adding to 4124231200 its reverse (21324214), we get a palindrome (4145555414).

It can be divided in two parts, 41 and 24231200, that added together give a triangular number (24231241 = T₆₉₆₁).

The spelling of 4124231200 in words is "four billion, one hundred twenty-four million, two hundred thirty-one thousand, two hundred".