42294328621281 has 117 divisors (see below), whose sum is σ = 69819257700129. Its totient is φ = 25601319869400.

The previous prime is 42294328621273. The next prime is 42294328621291. The reversal of 42294328621281 is 18212682349224.

The square root of 42294328621281 is 6503409.

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

42294328621281 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 4 + 3 + 2 + 8 + 621 + 2 + 8 + 1 = 666.

It is not a de Polignac number, because 42294328621281 - 2³ = 42294328621273 is a prime.

It is a super-2 number, since 2×42294328621281² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42294328621271) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 52150836366 + ... + 52150837176.

Almost surely, 2^{42294328621281} is an apocalyptic number.

42294328621281 is the 6503409-th square number.

42294328621281 is the 3251705-th centered octagonal number.

It is an amenable number.

42294328621281 is a deficient number, since it is larger than the sum of its proper divisors (27524929078848).

42294328621281 is an frugal number, since it uses more digits than its factorization.

42294328621281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 825 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 42294328621281 in words is "forty-two trillion, two hundred ninety-four billion, three hundred twenty-eight million, six hundred twenty-one thousand, two hundred eighty-one".