4189104000 has 256 divisors, whose sum is σ = 15431457600. Its totient is φ = 1116979200.

The previous prime is 4189103959. The next prime is 4189104013. The reversal of 4189104000 is 4019814.

It is a super-3 number, since 3×4189104000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427152 + ... + 436848.

Almost surely, 2^4189104000 is an apocalyptic number.

4189104000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4189104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715728800).

4189104000 is an abundant number, since it is smaller than the sum of its proper divisors (11242353600).

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

4189104000 is an equidigital number, since it uses as much as digits as its factorization.

4189104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4189104000 is about 64723.2879263716. The cubic root of 4189104000 is about 1612.0322061103.

The spelling of 4189104000 in words is "four billion, one hundred eighty-nine million, one hundred four thousand".