4227921428481 has 81 divisors (see below), whose sum is σ = 6374339069787. Its totient is φ = 2700354516480.

The previous prime is 4227921428461. The next prime is 4227921428519. The reversal of 4227921428481 is 1848241297224.

The square root of 4227921428481 is 2056191.

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

4227921428481 is a `hidden beast` number, since 4 + 2 + 2 + 79 + 214 + 284 + 81 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2012241546225 + 2215679882256 = 1418535^2 + 1488516^2 .

It is not a de Polignac number, because 4227921428481 - 2⁹ = 4227921427969 is a prime.

It is a super-2 number, since 2×4227921428481² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4227921428461) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18462538875 + ... + 18462539103.

Almost surely, 2^{4227921428481} is an apocalyptic number.

4227921428481 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4227921428481 is the 2056191-st square number.

4227921428481 is the 1028096-th centered octagonal number.

It is an amenable number.

4227921428481 is a deficient number, since it is larger than the sum of its proper divisors (2146417641306).

4227921428481 is an frugal number, since it uses more digits than its factorization.

4227921428481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 4227921428481 in words is "four trillion, two hundred twenty-seven billion, nine hundred twenty-one million, four hundred twenty-eight thousand, four hundred eighty-one".