4164459692344 has 64 divisors (see below), whose sum is σ = 9062300044800. Its totient is φ = 1757147817600.

The previous prime is 4164459692317. The next prime is 4164459692357. The reversal of 4164459692344 is 4432969544614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080339 + ... + 3557629.

It is an arithmetic number, because the mean of its divisors is an integer number (141598438200).

Almost surely, 2^{4164459692344} 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 4164459692344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531150022400).

4164459692344 is an abundant number, since it is smaller than the sum of its proper divisors (4897840352456).

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

4164459692344 is a wasteful number, since it uses less digits than its factorization.

4164459692344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478084 (or 1478080 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 61.

The spelling of 4164459692344 in words is "four trillion, one hundred sixty-four billion, four hundred fifty-nine million, six hundred ninety-two thousand, three hundred forty-four".