4161798144000 has 1440 divisors, whose sum is σ = 18051142489380. Its totient is φ = 951268147200.

The previous prime is 4161798143977. The next prime is 4161798144037. The reversal of 4161798144000 is 4418971614.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4161798144000 is a `hidden beast` number, since 4 + 1 + 61 + 79 + 81 + 440 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2813375545344 + 1348422598656 = 1677312^2 + 1161216^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 59 ways as a sum of consecutive naturals, for example, 594542591997 + ... + 594542592003.

Almost surely, 2^{4161798144000} is an apocalyptic number.

4161798144000 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 4161798144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025571244690).

4161798144000 is an abundant number, since it is smaller than the sum of its proper divisors (13889344345380).

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

4161798144000 is an frugal number, since it uses more digits than its factorization.

4161798144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4161798144000 in words is "four trillion, one hundred sixty-one billion, seven hundred ninety-eight million, one hundred forty-four thousand".