4164561745920 has 288 divisors, whose sum is σ = 14631367186800. Its totient is φ = 1095335018496.

The previous prime is 4164561745879. The next prime is 4164561745921. The reversal of 4164561745920 is 295471654614.

4164561745920 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 561 + 7 + 4 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164561745921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6418171 + ... + 7037189.

Almost surely, 2^{4164561745920} is an apocalyptic number.

4164561745920 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 4164561745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315683593400).

4164561745920 is an abundant number, since it is smaller than the sum of its proper divisors (10466805440880).

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

4164561745920 is a wasteful number, since it uses less digits than its factorization.

4164561745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619125 (or 619102 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4164561745920 in words is "four trillion, one hundred sixty-four billion, five hundred sixty-one million, seven hundred forty-five thousand, nine hundred twenty".