42805634301 has 40 divisors (see below), whose sum is σ = 65606587200. Its totient is φ = 27797394240.

The previous prime is 42805634293. The next prime is 42805634317. The reversal of 42805634301 is 10343650824.

It is not a de Polignac number, because 42805634301 - 2³ = 42805634293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42805632301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2178760 + ... + 2198318.

It is an arithmetic number, because the mean of its divisors is an integer number (1640164680).

Almost surely, 2^42805634301 is an apocalyptic number.

42805634301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42805634301 is a deficient number, since it is larger than the sum of its proper divisors (22800952899).

42805634301 is a wasteful number, since it uses less digits than its factorization.

42805634301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20271 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42805634301 in words is "forty-two billion, eight hundred five million, six hundred thirty-four thousand, three hundred one".