4142612986281 has 315 divisors, whose sum is σ = 8037897773655. Its totient is φ = 2127826895040.

The previous prime is 4142612986159. The next prime is 4142612986283. The reversal of 4142612986281 is 1826892162414.

The square root of 4142612986281 is 2035341.

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

4142612986281 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 6 + 1 + 2 + 9 + 8 + 628 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 795469555881 + 3347143430400 = 891891^2 + 1829520^2 .

It is not a de Polignac number, because 4142612986281 - 2²¹ = 4142610889129 is a prime.

It is a super-2 number, since 2×4142612986281² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4142612986283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 46546213285 + ... + 46546213373.

Almost surely, 2^{4142612986281} is an apocalyptic number.

4142612986281 is the 2035341-st square number.

4142612986281 is the 1017671-st centered octagonal number.

It is an amenable number.

4142612986281 is a deficient number, since it is larger than the sum of its proper divisors (3895284787374).

4142612986281 is an frugal number, since it uses more digits than its factorization.

4142612986281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 110 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 4142612986281 in words is "four trillion, one hundred forty-two billion, six hundred twelve million, nine hundred eighty-six thousand, two hundred eighty-one".