4161050320896 has 1008 divisors, whose sum is σ = 15010623613440. Its totient is φ = 1147095613440.

The previous prime is 4161050320849. The next prime is 4161050320919. The reversal of 4161050320896 is 6980230501614.

4161050320896 is a `hidden beast` number, since 4 + 1 + 61 + 0 + 503 + 2 + 0 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2828721441 + ... + 2828722911.

It is an arithmetic number, because the mean of its divisors is an integer number (14891491680).

Almost surely, 2^{4161050320896} 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 4161050320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505311806720).

4161050320896 is an abundant number, since it is smaller than the sum of its proper divisors (10849573292544).

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

4161050320896 is an equidigital number, since it uses as much as digits as its factorization.

4161050320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4161050320896 in words is "four trillion, one hundred sixty-one billion, fifty million, three hundred twenty thousand, eight hundred ninety-six".