4282387388449 has 27 divisors (see below), whose sum is σ = 4664341599691. Its totient is φ = 3930853391360.

The previous prime is 4282387388443. The next prime is 4282387388453. The reversal of 4282387388449 is 9448837832824.

The square root of 4282387388449 is 2069393.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4128434741025 + 153952647424 = 2031855^2 + 392368^2 .

It is not a de Polignac number, because 4282387388449 - 2¹⁵ = 4282387355681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4282387388443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1442365437 + ... + 1442368405.

Almost surely, 2^{4282387388449} is an apocalyptic number.

4282387388449 is the 2069393-rd square number.

4282387388449 is the 1034697-th centered octagonal number.

It is an amenable number.

4282387388449 is a deficient number, since it is larger than the sum of its proper divisors (381954211242).

4282387388449 is an frugal number, since it uses more digits than its factorization.

4282387388449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 3027 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 70.

The spelling of 4282387388449 in words is "four trillion, two hundred eighty-two billion, three hundred eighty-seven million, three hundred eighty-eight thousand, four hundred forty-nine".