4013634128 has 20 divisors (see below), whose sum is σ = 8887332960. Its totient is φ = 1720128864.

The previous prime is 4013634127. The next prime is 4013634151. The reversal of 4013634128 is 8214363104.

It is a super-3 number, since 3×4013634128³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4013634094 and 4013634103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013634127) 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 3 ways as a sum of consecutive naturals, for example, 17917898 + ... + 17918121.

It is an arithmetic number, because the mean of its divisors is an integer number (444366648).

Almost surely, 2^4013634128 is an apocalyptic number.

It is an amenable number.

4013634128 is an abundant number, since it is smaller than the sum of its proper divisors (4873698832).

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

4013634128 is a wasteful number, since it uses less digits than its factorization.

4013634128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35836034 (or 35836028 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 4013634128 is about 63353.2487564766. The cubic root of 4013634128 is about 1589.2025757596.

The spelling of 4013634128 in words is "four billion, thirteen million, six hundred thirty-four thousand, one hundred twenty-eight".