41951286582975 has 288 divisors, whose sum is σ = 103550972313600. Its totient is φ = 16408751385600.

The previous prime is 41951286582973. The next prime is 41951286583007. The reversal of 41951286582975 is 57928568215914.

41951286582975 is a `hidden beast` number, since 4 + 1 + 9 + 5 + 1 + 286 + 58 + 297 + 5 = 666.

It is not a de Polignac number, because 41951286582975 - 2¹ = 41951286582973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41951286582971) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2793666 + ... + 9576384.

It is an arithmetic number, because the mean of its divisors is an integer number (359551987200).

Almost surely, 2^{41951286582975} is an apocalyptic number.

41951286582975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41951286582975 is an abundant number, since it is smaller than the sum of its proper divisors (61599685730625).

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

41951286582975 is a wasteful number, since it uses less digits than its factorization.

41951286582975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782780 (or 6782762 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 72.

The spelling of 41951286582975 in words is "forty-one trillion, nine hundred fifty-one billion, two hundred eighty-six million, five hundred eighty-two thousand, nine hundred seventy-five".