41635230765345 has 96 divisors (see below), whose sum is σ = 84297826379520. Its totient is φ = 18616638481920.

The previous prime is 41635230765281. The next prime is 41635230765367. The reversal of 41635230765345 is 54356703253614.

41635230765345 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 5 + 2 + 30 + 76 + 534 + 5 = 666.

It is not a de Polignac number, because 41635230765345 - 2⁶ = 41635230765281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41635230765291 and 41635230765300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2613054 + ... + 9492023.

It is an arithmetic number, because the mean of its divisors is an integer number (878102358120).

Almost surely, 2^{41635230765345} is an apocalyptic number.

41635230765345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41635230765345 is an abundant number, since it is smaller than the sum of its proper divisors (42662595614175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41635230765345 is a wasteful number, since it uses less digits than its factorization.

41635230765345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105335 (or 12105332 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 41635230765345 in words is "forty-one trillion, six hundred thirty-five billion, two hundred thirty million, seven hundred sixty-five thousand, three hundred forty-five".