4005340133 has 16 divisors (see below), whose sum is σ = 4203154800. Its totient is φ = 3811852800.

The previous prime is 4005340127. The next prime is 4005340147. The reversal of 4005340133 is 3310435004.

It can be written as a sum of positive squares in 8 ways, for example, as 31550689 + 3973789444 = 5617^2 + 63038^2 .

It is not a de Polignac number, because 4005340133 - 2¹² = 4005336037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4005340099 and 4005340108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005340123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679523 + ... + 685391.

It is an arithmetic number, because the mean of its divisors is an integer number (262697175).

Almost surely, 2^4005340133 is an apocalyptic number.

It is an amenable number.

4005340133 is a deficient number, since it is larger than the sum of its proper divisors (197814667).

4005340133 is a wasteful number, since it uses less digits than its factorization.

4005340133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 4005340133 is about 63287.7565805583. The cubic root of 4005340133 is about 1588.1071489022.

Adding to 4005340133 its reverse (3310435004), we get a palindrome (7315775137).

The spelling of 4005340133 in words is "four billion, five million, three hundred forty thousand, one hundred thirty-three".