4189635072 has 120 divisors (see below), whose sum is σ = 13819044096. Its totient is φ = 1197029376.

The previous prime is 4189635067. The next prime is 4189635137. The reversal of 4189635072 is 2705369814.

4189635072 is a `hidden beast` number, since 4 + 1 + 8 + 9 + 635 + 0 + 7 + 2 = 666.

4189635072 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4189635072 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32688 + ... + 97199.

It is a 1-persistent number, because it is pandigital, but 2⋅4189635072 = 8379270144 is not.

Almost surely, 2^4189635072 is an apocalyptic number.

4189635072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4189635072 is an abundant number, since it is smaller than the sum of its proper divisors (9629409024).

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

4189635072 is a wasteful number, since it uses less digits than its factorization.

4189635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129918 (or 129899 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4189635072 is about 64727.3904309451. The cubic root of 4189635072 is about 1612.1003248132.

The spelling of 4189635072 in words is "four billion, one hundred eighty-nine million, six hundred thirty-five thousand, seventy-two".