42431104541601 has 6 divisors (see below), whose sum is σ = 61289373226770. Its totient is φ = 28287403027728.

The previous prime is 42431104541569. The next prime is 42431104541627. The reversal of 42431104541601 is 10614540113424.

42431104541601 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 1 + 1 + 0 + 4 + 5 + 41 + 601 = 666.

42431104541601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33867755799201 + 8563348742400 = 5819601^2 + 2926320^2 .

It is not a de Polignac number, because 42431104541601 - 2⁵ = 42431104541569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42431104541701) 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 5 ways as a sum of consecutive naturals, for example, 2357283585636 + ... + 2357283585653.

It is an arithmetic number, because the mean of its divisors is an integer number (10214895537795).

Almost surely, 2^{42431104541601} is an apocalyptic number.

It is an amenable number.

42431104541601 is a deficient number, since it is larger than the sum of its proper divisors (18858268685169).

42431104541601 is a wasteful number, since it uses less digits than its factorization.

42431104541601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714567171295 (or 4714567171292 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42431104541601 in words is "forty-two trillion, four hundred thirty-one billion, one hundred four million, five hundred forty-one thousand, six hundred one".