4282101816976 has 45 divisors (see below), whose sum is σ = 8593007794761. Its totient is φ = 2067105684672.

The previous prime is 4282101816919. The next prime is 4282101816989. The reversal of 4282101816976 is 6796181012824.

The square root of 4282101816976 is 2069324.

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., 2245430322576 + 2036671494400 = 1498476^2 + 1427120^2 .

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, 240032665 + ... + 240050503.

Almost surely, 2^{4282101816976} is an apocalyptic number.

4282101816976 is the 2069324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282101816976

4282101816976 is an abundant number, since it is smaller than the sum of its proper divisors (4310905977785).

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

4282101816976 is an frugal number, since it uses more digits than its factorization.

4282101816976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35744 (or 17870 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 4282101816976 in words is "four trillion, two hundred eighty-two billion, one hundred one million, eight hundred sixteen thousand, nine hundred seventy-six".