41386997467305 has 384 divisors, whose sum is σ = 88208335687680. Its totient is φ = 17532503654400.

The previous prime is 41386997467301. The next prime is 41386997467327. The reversal of 41386997467305 is 50376479968314.

41386997467305 is a `hidden beast` number, since 4 + 1 + 386 + 99 + 74 + 67 + 30 + 5 = 666.

It is not a de Polignac number, because 41386997467305 - 2² = 41386997467301 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41386997467301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39378684030 + ... + 39378685080.

It is an arithmetic number, because the mean of its divisors is an integer number (229709207520).

Almost surely, 2^{41386997467305} is an apocalyptic number.

41386997467305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41386997467305 is an abundant number, since it is smaller than the sum of its proper divisors (46821338220375).

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

41386997467305 is a wasteful number, since it uses less digits than its factorization.

41386997467305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 41386997467305 in words is "forty-one trillion, three hundred eighty-six billion, nine hundred ninety-seven million, four hundred sixty-seven thousand, three hundred five".