4166948520 has 384 divisors, whose sum is σ = 16859232000. Its totient is φ = 870912000.

The previous prime is 4166948507. The next prime is 4166948521. The reversal of 4166948520 is 258496614.

4166948520 is a `hidden beast` number, since 4 + 166 + 9 + 485 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4166948521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1387020 + ... + 1390020.

It is an arithmetic number, because the mean of its divisors is an integer number (43904250).

Almost surely, 2^4166948520 is an apocalyptic number.

4166948520 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 4166948520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429616000).

4166948520 is an abundant number, since it is smaller than the sum of its proper divisors (12692283480).

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

4166948520 is a wasteful number, since it uses less digits than its factorization.

4166948520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4166948520 is about 64551.9056264027. The cubic root of 4166948520 is about 1609.1852570448.

The spelling of 4166948520 in words is "four billion, one hundred sixty-six million, nine hundred forty-eight thousand, five hundred twenty".