4158728175616 has 171 divisors, whose sum is σ = 9692424038829. Its totient is φ = 1779179716608.

The previous prime is 4158728175593. The next prime is 4158728175649. The reversal of 4158728175616 is 6165718278514.

The square root of 4158728175616 is 2039296.

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

It can be written as a sum of positive squares in only one way, i.e., 685425033216 + 3473303142400 = 827904^2 + 1863680^2 .

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 8 ways as a sum of consecutive naturals, for example, 7308836580 + ... + 7308837148.

Almost surely, 2^{4158728175616} is an apocalyptic number.

4158728175616 is the 2039296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4158728175616

4158728175616 is an abundant number, since it is smaller than the sum of its proper divisors (5533695863213).

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

4158728175616 is an frugal number, since it uses more digits than its factorization.

4158728175616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 578 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 61.

The spelling of 4158728175616 in words is "four trillion, one hundred fifty-eight billion, seven hundred twenty-eight million, one hundred seventy-five thousand, six hundred sixteen".