4161334146816 has 576 divisors, whose sum is σ = 14119990198272. Its totient is φ = 1065512448000.

The previous prime is 4161334146779. The next prime is 4161334146817. The reversal of 4161334146816 is 6186414331614.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161334146817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508033281 + ... + 508041471.

It is an arithmetic number, because the mean of its divisors is an integer number (24513871872).

Almost surely, 2^{4161334146816} 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 4161334146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059995099136).

4161334146816 is an abundant number, since it is smaller than the sum of its proper divisors (9958656051456).

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

4161334146816 is an equidigital number, since it uses as much as digits as its factorization.

4161334146816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8321 (or 8285 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 4161334146816 in words is "four trillion, one hundred sixty-one billion, three hundred thirty-four million, one hundred forty-six thousand, eight hundred sixteen".