4117086000 has 240 divisors, whose sum is σ = 14500881408. Its totient is φ = 1088640000.

The previous prime is 4117085969. The next prime is 4117086011. The reversal of 4117086000 is 6807114.

It is a happy number.

4117086000 is a `hidden beast` number, since 41 + 17 + 0 + 8 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2285100 + ... + 2286900.

Almost surely, 2^4117086000 is an apocalyptic number.

4117086000 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 4117086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250440704).

4117086000 is an abundant number, since it is smaller than the sum of its proper divisors (10383795408).

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

4117086000 is a wasteful number, since it uses less digits than its factorization.

4117086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4117086000 is about 64164.5229079123. The cubic root of 4117086000 is about 1602.7408749883.

The spelling of 4117086000 in words is "four billion, one hundred seventeen million, eighty-six thousand".