6840427007241 has 27 divisors (see below), whose sum is σ = 9920294876583. Its totient is φ = 4542044725440.

The previous prime is 6840427007213. The next prime is 6840427007251. The reversal of 6840427007241 is 1427007240486.

The square root of 6840427007241 is 2615421.

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., 6168840201225 + 671586806016 = 2483715^2 + 819504^2 .

It is not a de Polignac number, because 6840427007241 - 2⁵ = 6840427007209 is a prime.

It is a super-3 number, since 3×6840427007241³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6840427007201) 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, 2126335665 + ... + 2126338881.

Almost surely, 2^{6840427007241} is an apocalyptic number.

6840427007241 is the 2615421-st square number.

6840427007241 is the 1307711-st centered octagonal number.

It is an amenable number.

6840427007241 is a deficient number, since it is larger than the sum of its proper divisors (3079867869342).

6840427007241 is an frugal number, since it uses more digits than its factorization.

6840427007241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 6840427007241 in words is "six trillion, eight hundred forty billion, four hundred twenty-seven million, seven thousand, two hundred forty-one".