4123313200 has 60 divisors (see below), whose sum is σ = 9967192168. Its totient is φ = 1639180800.

The previous prime is 4123313197. The next prime is 4123313213. The reversal of 4123313200 is 23133214.

It is a super-3 number, since 3×4123313200³ (a number of 30 digits) contains 333 as substring.

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, 33580 + ... + 96820.

Almost surely, 2^4123313200 is an apocalyptic number.

4123313200 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 4123313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983596084).

4123313200 is an abundant number, since it is smaller than the sum of its proper divisors (5843878968).

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

4123313200 is a wasteful number, since it uses less digits than its factorization.

4123313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63422 (or 63411 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4123313200 is about 64213.0298304012. The cubic root of 4123313200 is about 1603.5485303894.

Adding to 4123313200 its reverse (23133214), we get a palindrome (4146446414).

The spelling of 4123313200 in words is "four billion, one hundred twenty-three million, three hundred thirteen thousand, two hundred".