4133253344 has 48 divisors (see below), whose sum is σ = 8892374400. Its totient is φ = 1875519360.

The previous prime is 4133253329. The next prime is 4133253347. The reversal of 4133253344 is 4433523314.

4133253344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4133253344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133253347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201047 + ... + 220649.

It is an arithmetic number, because the mean of its divisors is an integer number (185257800).

Almost surely, 2^4133253344 is an apocalyptic number.

4133253344 is a gapful number since it is divisible by the number (44) 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 4133253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446187200).

4133253344 is an abundant number, since it is smaller than the sum of its proper divisors (4759121056).

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

4133253344 is a wasteful number, since it uses less digits than its factorization.

4133253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20223 (or 20215 counting only the distinct ones).

The product of its digits is 51840, while the sum is 32.

The square root of 4133253344 is about 64290.3829822159. The cubic root of 4133253344 is about 1604.8360639100.

Adding to 4133253344 its reverse (4433523314), we get a palindrome (8566776658).

The spelling of 4133253344 in words is "four billion, one hundred thirty-three million, two hundred fifty-three thousand, three hundred forty-four".