4092172959744 has 285 divisors, whose sum is σ = 12253887946047. Its totient is φ = 1360950460416.

The previous prime is 4092172959713. The next prime is 4092172959779. The reversal of 4092172959744 is 4479592712904.

The square root of 4092172959744 is 2022912.

It is a perfect power (a square), and thus also a powerful number.

4092172959744 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 17 + 29 + 597 + 4 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9321578277 + ... + 9321578715.

Almost surely, 2^{4092172959744} is an apocalyptic number.

4092172959744 is the 2022912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4092172959744

4092172959744 is an abundant number, since it is smaller than the sum of its proper divisors (8161714986303).

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

4092172959744 is an frugal number, since it uses more digits than its factorization.

4092172959744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4092172959744 in words is "four trillion, ninety-two billion, one hundred seventy-two million, nine hundred fifty-nine thousand, seven hundred forty-four".