4117366000 has 320 divisors, whose sum is σ = 11720142720. Its totient is φ = 1382400000.

The previous prime is 4117365961. The next prime is 4117366037. The reversal of 4117366000 is 6637114.

It is a self number, because there is not a number n which added to its sum of digits gives 4117366000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37773946 + ... + 37774054.

It is an arithmetic number, because the mean of its divisors is an integer number (36625446).

Almost surely, 2^4117366000 is an apocalyptic number.

4117366000 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 4117366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860071360).

4117366000 is an abundant number, since it is smaller than the sum of its proper divisors (7602776720).

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

4117366000 is a wasteful number, since it uses less digits than its factorization.

4117366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 4117366000 is about 64166.7047618935. The cubic root of 4117366000 is about 1602.7772079085. Note that the first 3 decimals are identical.

The spelling of 4117366000 in words is "four billion, one hundred seventeen million, three hundred sixty-six thousand".