4013128567 has 24 divisors (see below), whose sum is σ = 4939205040. Its totient is φ = 3242090880.

The previous prime is 4013128531. The next prime is 4013128577. The reversal of 4013128567 is 7658213104.

It is not a de Polignac number, because 4013128567 - 2¹¹ = 4013126519 is a prime.

It is a super-2 number, since 2×4013128567² = 32210401790542946978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013128507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172467 + ... + 194347.

It is an arithmetic number, because the mean of its divisors is an integer number (205800210).

Almost surely, 2^4013128567 is an apocalyptic number.

4013128567 is a deficient number, since it is larger than the sum of its proper divisors (926076473).

4013128567 is a wasteful number, since it uses less digits than its factorization.

4013128567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22111 (or 22104 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 4013128567 is about 63349.2586144463. The cubic root of 4013128567 is about 1589.1358471579.

The spelling of 4013128567 in words is "four billion, thirteen million, one hundred twenty-eight thousand, five hundred sixty-seven".