4189406160 has 80 divisors (see below), whose sum is σ = 12994882560. Its totient is φ = 1116510720.

The previous prime is 4189406153. The next prime is 4189406161. The reversal of 4189406160 is 616049814.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4189406160² = 35102247946891891200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4189406161) 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 15 ways as a sum of consecutive naturals, for example, 502506 + ... + 510774.

It is an arithmetic number, because the mean of its divisors is an integer number (162436032).

Almost surely, 2^4189406160 is an apocalyptic number.

4189406160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4189406160 is an abundant number, since it is smaller than the sum of its proper divisors (8805476400).

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

4189406160 is a wasteful number, since it uses less digits than its factorization.

4189406160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4189406160 is about 64725.6221291074. The cubic root of 4189406160 is about 1612.0709637969.

The spelling of 4189406160 in words is "four billion, one hundred eighty-nine million, four hundred six thousand, one hundred sixty".