4166316000 has 960 divisors, whose sum is σ = 19179224064. Its totient is φ = 860544000.

The previous prime is 4166315999. The next prime is 4166316013. The reversal of 4166316000 is 6136614.

It is a super-3 number, since 3×4166316000³ (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 159 ways as a sum of consecutive naturals, for example, 24947917 + ... + 24948083.

Almost surely, 2^4166316000 is an apocalyptic number.

4166316000 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 4166316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589612032).

4166316000 is an abundant number, since it is smaller than the sum of its proper divisors (15012908064).

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

4166316000 is a wasteful number, since it uses less digits than its factorization.

4166316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4166316000 is about 64547.0061273178. The cubic root of 4166316000 is about 1609.1038310837.

The spelling of 4166316000 in words is "four billion, one hundred sixty-six million, three hundred sixteen thousand".