4166528163840 has 1792 divisors, whose sum is σ = 17838963763200. Its totient is φ = 902515654656.

The previous prime is 4166528163823. The next prime is 4166528163859. The reversal of 4166528163840 is 483618256614.

4166528163840 is a `hidden beast` number, since 4 + 1 + 66 + 528 + 16 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-3 number, since 3×4166528163840³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15041617782 + ... + 15041618058.

Almost surely, 2^{4166528163840} is an apocalyptic number.

4166528163840 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 4166528163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919481881600).

4166528163840 is an abundant number, since it is smaller than the sum of its proper divisors (13672435599360).

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

4166528163840 is a wasteful number, since it uses less digits than its factorization.

4166528163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4166528163840 in words is "four trillion, one hundred sixty-six billion, five hundred twenty-eight million, one hundred sixty-three thousand, eight hundred forty".