42155581809289 has 27 divisors (see below), whose sum is σ = 47170696704327. Its totient is φ = 37655254306800.

The previous prime is 42155581809283. The next prime is 42155581809301. The reversal of 42155581809289 is 98290818555124.

The square root of 42155581809289 is 6492733.

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., 6236032812025 + 35919548997264 = 2497205^2 + 5993292^2 .

It is not a de Polignac number, because 42155581809289 - 2⁹ = 42155581808777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42155581809283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2616563344 + ... + 2616579454.

It is an arithmetic number, because the mean of its divisors is an integer number (1747062840901).

Almost surely, 2^{42155581809289} is an apocalyptic number.

42155581809289 is the 6492733-rd square number.

42155581809289 is the 3246367-th centered octagonal number.

It is an amenable number.

42155581809289 is a deficient number, since it is larger than the sum of its proper divisors (5015114895038).

42155581809289 is an frugal number, since it uses more digits than its factorization.

42155581809289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32310 (or 16155 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 67.

The spelling of 42155581809289 in words is "forty-two trillion, one hundred fifty-five billion, five hundred eighty-one million, eight hundred nine thousand, two hundred eighty-nine".