4166323560 has 256 divisors, whose sum is σ = 16015449600. Its totient is φ = 943681536.

The previous prime is 4166323559. The next prime is 4166323573. The reversal of 4166323560 is 653236614.

4166323560 is a `hidden beast` number, since 4 + 1 + 66 + 32 + 3 + 560 = 666.

It is a super-2 number, since 2×4166323560² = 34716504013222147200, which contains 22 as substring.

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

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, 851842 + ... + 856718.

It is an arithmetic number, because the mean of its divisors is an integer number (62560350).

Almost surely, 2^4166323560 is an apocalyptic number.

4166323560 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 4166323560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007724800).

4166323560 is an abundant number, since it is smaller than the sum of its proper divisors (11849126040).

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

4166323560 is a wasteful number, since it uses less digits than its factorization.

4166323560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4166323560 is about 64547.0646892638. The cubic root of 4166323560 is about 1609.1048043510.

The spelling of 4166323560 in words is "four billion, one hundred sixty-six million, three hundred twenty-three thousand, five hundred sixty".