4162243364864 has 576 divisors, whose sum is σ = 10188467452800. Its totient is φ = 1684537344000.

The previous prime is 4162243364843. The next prime is 4162243364893. The reversal of 4162243364864 is 4684633422614.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10379659064 + ... + 10379659464.

It is an arithmetic number, because the mean of its divisors is an integer number (17688311550).

Almost surely, 2^{4162243364864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162243364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094233726400).

4162243364864 is an abundant number, since it is smaller than the sum of its proper divisors (6026224087936).

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

4162243364864 is a wasteful number, since it uses less digits than its factorization.

4162243364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 523 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 53.

The spelling of 4162243364864 in words is "four trillion, one hundred sixty-two billion, two hundred forty-three million, three hundred sixty-four thousand, eight hundred sixty-four".