4005140033 has 12 divisors (see below), whose sum is σ = 4202579220. Its totient is φ = 3812427360.

The previous prime is 4005139907. The next prime is 4005140047. The reversal of 4005140033 is 3300415004.

It can be written as a sum of positive squares in 2 ways, for example, as 2491307569 + 1513832464 = 49913^2 + 38908^2 .

It is not a de Polignac number, because 4005140033 - 2¹⁴ = 4005123649 is a prime.

It is a super-2 number, since 2×4005140033² = 32082293367878482178, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4005139987 and 4005140014.

It is not an unprimeable number, because it can be changed into a prime (4005140233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132491 + ... + 159887.

It is an arithmetic number, because the mean of its divisors is an integer number (350214935).

Almost surely, 2^4005140033 is an apocalyptic number.

It is an amenable number.

4005140033 is a deficient number, since it is larger than the sum of its proper divisors (197439187).

4005140033 is an equidigital number, since it uses as much as digits as its factorization.

4005140033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27568 (or 27497 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4005140033 is about 63286.1756863219. The cubic root of 4005140033 is about 1588.0807020819.

Adding to 4005140033 its reverse (3300415004), we get a palindrome (7305555037).

The spelling of 4005140033 in words is "four billion, five million, one hundred forty thousand, thirty-three".