4133424000 has 128 divisors (see below), whose sum is σ = 13702459680. Its totient is φ = 1102233600.

The previous prime is 4133423929. The next prime is 4133424011. The reversal of 4133424000 is 4243314.

4133424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4944 + ... + 91056.

Almost surely, 2^4133424000 is an apocalyptic number.

4133424000 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 4133424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851229840).

4133424000 is an abundant number, since it is smaller than the sum of its proper divisors (9569035680).

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

4133424000 is an equidigital number, since it uses as much as digits as its factorization.

4133424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86145 (or 86123 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4133424000 is about 64291.7101965720. The cubic root of 4133424000 is about 1604.8581507192.

Adding to 4133424000 its reverse (4243314), we get a palindrome (4137667314).

The spelling of 4133424000 in words is "four billion, one hundred thirty-three million, four hundred twenty-four thousand".