41768033106555 has 192 divisors, whose sum is σ = 88105829400576. Its totient is φ = 17868662784000.

The previous prime is 41768033106533. The next prime is 41768033106557. The reversal of 41768033106555 is 55560133086714.

41768033106555 is a `hidden beast` number, since 4 + 1 + 7 + 6 + 80 + 3 + 3 + 1 + 0 + 6 + 555 = 666.

It is not a de Polignac number, because 41768033106555 - 2³⁴ = 41750853237371 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41768033106557) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2650079875 + ... + 2650095635.

It is an arithmetic number, because the mean of its divisors is an integer number (458884528128).

Almost surely, 2^{41768033106555} is an apocalyptic number.

41768033106555 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41768033106555 is an abundant number, since it is smaller than the sum of its proper divisors (46337796294021).

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

41768033106555 is a wasteful number, since it uses less digits than its factorization.

41768033106555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18578 (or 18575 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 41768033106555 in words is "forty-one trillion, seven hundred sixty-eight billion, thirty-three million, one hundred six thousand, five hundred fifty-five".