42677307129601 has 24 divisors (see below), whose sum is σ = 45613845345600. Its totient is φ = 39920258349312.

The previous prime is 42677307129517. The next prime is 42677307129619. The reversal of 42677307129601 is 10692170377624.

42677307129601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42677307129601 - 2¹³ = 42677307121409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42677307127601) 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 23 ways as a sum of consecutive naturals, for example, 332902351 + ... + 333030523.

It is an arithmetic number, because the mean of its divisors is an integer number (1900576889400).

Almost surely, 2^{42677307129601} is an apocalyptic number.

It is an amenable number.

42677307129601 is a deficient number, since it is larger than the sum of its proper divisors (2936538215999).

42677307129601 is a wasteful number, since it uses less digits than its factorization.

42677307129601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135273 (or 135256 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 55.

The spelling of 42677307129601 in words is "forty-two trillion, six hundred seventy-seven billion, three hundred seven million, one hundred twenty-nine thousand, six hundred one".