4161574081944 has 288 divisors, whose sum is σ = 11960880422400. Its totient is φ = 1306660118400.

The previous prime is 4161574081937. The next prime is 4161574081963. The reversal of 4161574081944 is 4491804751614.

4161574081944 is a `hidden beast` number, since 4 + 1 + 61 + 574 + 0 + 8 + 1 + 9 + 4 + 4 = 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 71 ways as a sum of consecutive naturals, for example, 388092567 + ... + 388103289.

It is an arithmetic number, because the mean of its divisors is an integer number (41530834800).

Almost surely, 2^{4161574081944} 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 4161574081944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980440211200).

4161574081944 is an abundant number, since it is smaller than the sum of its proper divisors (7799306340456).

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

4161574081944 is a wasteful number, since it uses less digits than its factorization.

4161574081944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4161574081944 in words is "four trillion, one hundred sixty-one billion, five hundred seventy-four million, eighty-one thousand, nine hundred forty-four".