4162243364800 has 84 divisors (see below), whose sum is σ = 10254107523240. Its totient is φ = 1662883640320.

The previous prime is 4162243364759. The next prime is 4162243364819. The reversal of 4162243364800 is 84633422614.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 249595 + ... + 2895994.

It is an arithmetic number, because the mean of its divisors is an integer number (122072708610).

Almost surely, 2^{4162243364800} is an apocalyptic number.

4162243364800 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 4162243364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127053761620).

4162243364800 is an abundant number, since it is smaller than the sum of its proper divisors (6091864158440).

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

4162243364800 is a wasteful number, since it uses less digits than its factorization.

4162243364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146438 (or 3146423 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 4162243364800 in words is "four trillion, one hundred sixty-two billion, two hundred forty-three million, three hundred sixty-four thousand, eight hundred".