4172161070592 has 960 divisors, whose sum is σ = 13734958406400. Its totient is φ = 1246230282240.

The previous prime is 4172161070543. The next prime is 4172161070663. The reversal of 4172161070592 is 2950701612714.

4172161070592 is a `hidden beast` number, since 4 + 1 + 7 + 21 + 610 + 7 + 0 + 5 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14742618483 + ... + 14742618765.

It is an arithmetic number, because the mean of its divisors is an integer number (14307248340).

Almost surely, 2^{4172161070592} 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 4172161070592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867479203200).

4172161070592 is an abundant number, since it is smaller than the sum of its proper divisors (9562797335808).

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

4172161070592 is a wasteful number, since it uses less digits than its factorization.

4172161070592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 4172161070592 in words is "four trillion, one hundred seventy-two billion, one hundred sixty-one million, seventy thousand, five hundred ninety-two".