4134744027649 has 27 divisors (see below), whose sum is σ = 4353303414369. Its totient is φ = 3926834262120.

The previous prime is 4134744027647. The next prime is 4134744027653. The reversal of 4134744027649 is 9467204474314.

The square root of 4134744027649 is 2033407.

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

It is not a de Polignac number, because 4134744027649 - 2¹ = 4134744027647 is a prime.

It is a super-2 number, since 2×4134744027649² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4134744027649.

It is not an unprimeable number, because it can be changed into a prime (4134744027643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9868123962 + ... + 9868124380.

Almost surely, 2^{4134744027649} is an apocalyptic number.

4134744027649 is the 2033407-th square number.

4134744027649 is the 1016704-th centered octagonal number.

It is an amenable number.

4134744027649 is a deficient number, since it is larger than the sum of its proper divisors (218559386720).

4134744027649 is an frugal number, since it uses more digits than its factorization.

4134744027649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 55.

The spelling of 4134744027649 in words is "four trillion, one hundred thirty-four billion, seven hundred forty-four million, twenty-seven thousand, six hundred forty-nine".