4157569936144 has 45 divisors (see below), whose sum is σ = 8257218383199. Its totient is φ = 2027919774720.

The previous prime is 4157569936111. The next prime is 4157569936151. The reversal of 4157569936144 is 4416399657514.

It is a happy number.

The square root of 4157569936144 is 2039012.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2865910410000 + 1291659526144 = 1692900^2 + 1136512^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 334391752 + ... + 334404184.

Almost surely, 2^{4157569936144} is an apocalyptic number.

4157569936144 is the 2039012-nd square number.

It is an amenable number.

4157569936144 is a deficient number, since it is larger than the sum of its proper divisors (4099648447055).

4157569936144 is an frugal number, since it uses more digits than its factorization.

4157569936144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24956 (or 12476 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 64.

Multiplying 4157569936144 by its sum of digits (64), we get a square (266084475913216 = 16312096²).

The spelling of 4157569936144 in words is "four trillion, one hundred fifty-seven billion, five hundred sixty-nine million, nine hundred thirty-six thousand, one hundred forty-four".