4005938133 has 16 divisors (see below), whose sum is σ = 5937039360. Its totient is φ = 2669583168.

The previous prime is 4005938119. The next prime is 4005938147. The reversal of 4005938133 is 3318395004.

It is an interprime number because it is at equal distance from previous prime (4005938119) and next prime (4005938147).

It is not a de Polignac number, because 4005938133 - 2¹⁴ = 4005921749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005938173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44941 + ... + 100157.

It is an arithmetic number, because the mean of its divisors is an integer number (371064960).

Almost surely, 2^4005938133 is an apocalyptic number.

It is an amenable number.

4005938133 is a deficient number, since it is larger than the sum of its proper divisors (1931101227).

4005938133 is a wasteful number, since it uses less digits than its factorization.

4005938133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57913 (or 57907 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4005938133 is about 63292.4808567337. The cubic root of 4005938133 is about 1588.1861801276.

The spelling of 4005938133 in words is "four billion, five million, nine hundred thirty-eight thousand, one hundred thirty-three".