4282048014721 has 15 divisors (see below), whose sum is σ = 4392667548165. Its totient is φ = 4174214149200.

The previous prime is 4282048014707. The next prime is 4282048014731. The reversal of 4282048014721 is 1274108402824.

It is a happy number.

The square root of 4282048014721 is 2069311.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3496484872321 + 785563142400 = 1869889^2 + 886320^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4282048014721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4282048014701) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3478511176 + ... + 3478512406.

It is an arithmetic number, because the mean of its divisors is an integer number (292844503211).

Almost surely, 2^{4282048014721} is an apocalyptic number.

4282048014721 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4282048014721 is the 2069311-st square number.

4282048014721 is the 1034656-th centered octagonal number.

It is an amenable number.

4282048014721 is a deficient number, since it is larger than the sum of its proper divisors (110619533444).

4282048014721 is an frugal number, since it uses more digits than its factorization.

4282048014721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The spelling of 4282048014721 in words is "four trillion, two hundred eighty-two billion, forty-eight million, fourteen thousand, seven hundred twenty-one".