4166313341364 has 192 divisors, whose sum is σ = 10999040819200. Its totient is φ = 1363682376576.

The previous prime is 4166313341357. The next prime is 4166313341419. The reversal of 4166313341364 is 4631433136614.

4166313341364 is a `hidden beast` number, since 4 + 1 + 6 + 631 + 3 + 3 + 4 + 1 + 3 + 6 + 4 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 525581169 + ... + 525589095.

Almost surely, 2^{4166313341364} 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 4166313341364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499520409600).

4166313341364 is an abundant number, since it is smaller than the sum of its proper divisors (6832727477836).

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

4166313341364 is a wasteful number, since it uses less digits than its factorization.

4166313341364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8451 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

Adding to 4166313341364 its reverse (4631433136614), we get a palindrome (8797746477978).

The spelling of 4166313341364 in words is "four trillion, one hundred sixty-six billion, three hundred thirteen million, three hundred forty-one thousand, three hundred sixty-four".