4166311680 has 288 divisors, whose sum is σ = 15298113600. Its totient is φ = 1072447488.

The previous prime is 4166311679. The next prime is 4166311691. The reversal of 4166311680 is 861136614.

4166311680 is a `hidden beast` number, since 4 + 1 + 6 + 631 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1000162 + ... + 1004318.

It is an arithmetic number, because the mean of its divisors is an integer number (53118450).

Almost surely, 2^4166311680 is an apocalyptic number.

4166311680 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 4166311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649056800).

4166311680 is an abundant number, since it is smaller than the sum of its proper divisors (11131801920).

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

4166311680 is a wasteful number, since it uses less digits than its factorization.

4166311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4166311680 is about 64546.9726633248. The cubic root of 4166311680 is about 1609.1032749304.

The spelling of 4166311680 in words is "four billion, one hundred sixty-six million, three hundred eleven thousand, six hundred eighty".