4091123200 has 120 divisors (see below), whose sum is σ = 10373195448. Its totient is φ = 1598177280.

The previous prime is 4091123161. The next prime is 4091123233. The reversal of 4091123200 is 23211904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546684 + ... + 554116.

Almost surely, 2^4091123200 is an apocalyptic number.

4091123200 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 4091123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186597724).

4091123200 is an abundant number, since it is smaller than the sum of its proper divisors (6282072248).

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

4091123200 is an equidigital number, since it uses as much as digits as its factorization.

4091123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 7483 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4091123200 is about 63961.8886525406. Note that the first 3 decimals coincide. The cubic root of 4091123200 is about 1599.3647478175.

The spelling of 4091123200 in words is "four billion, ninety-one million, one hundred twenty-three thousand, two hundred".