4161197162304 has 672 divisors, whose sum is σ = 14916052220160. Its totient is φ = 1086359040000.

The previous prime is 4161197162281. The next prime is 4161197162323. The reversal of 4161197162304 is 4032617911614.

4161197162304 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 19 + 7 + 1 + 623 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 4161197162304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 894686379 + ... + 894691029.

It is an arithmetic number, because the mean of its divisors is an integer number (22196506280).

Almost surely, 2^{4161197162304} 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 4161197162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458026110080).

4161197162304 is an abundant number, since it is smaller than the sum of its proper divisors (10754855057856).

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

4161197162304 is a wasteful number, since it uses less digits than its factorization.

4161197162304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4161197162304 in words is "four trillion, one hundred sixty-one billion, one hundred ninety-seven million, one hundred sixty-two thousand, three hundred four".