4182166052800 has 84 divisors (see below), whose sum is σ = 10293874687800. Its totient is φ = 1672357227520.

The previous prime is 4182166052737. The next prime is 4182166052837. The reversal of 4182166052800 is 82506612814.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4882242 + ... + 5674558.

Almost surely, 2^{4182166052800} is an apocalyptic number.

4182166052800 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 4182166052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146937343900).

4182166052800 is an abundant number, since it is smaller than the sum of its proper divisors (6111708635000).

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

4182166052800 is a wasteful number, since it uses less digits than its factorization.

4182166052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795638 (or 795623 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 4182166052800 in words is "four trillion, one hundred eighty-two billion, one hundred sixty-six million, fifty-two thousand, eight hundred".