41775080413824 has 224 divisors, whose sum is σ = 125023895486100. Its totient is φ = 13897653387264.

The previous prime is 41775080413819. The next prime is 41775080413861. The reversal of 41775080413824 is 42831408057714.

41775080413824 is a `hidden beast` number, since 4 + 1 + 7 + 75 + 0 + 80 + 413 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40451126414400 + 1323953999424 = 6360120^2 + 1150632^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47056032 + ... + 47935584.

Almost surely, 2^{41775080413824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41775080413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62511947743050).

41775080413824 is an abundant number, since it is smaller than the sum of its proper divisors (83248815072276).

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

41775080413824 is an frugal number, since it uses more digits than its factorization.

41775080413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880094 (or 880067 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 41775080413824 in words is "forty-one trillion, seven hundred seventy-five billion, eighty million, four hundred thirteen thousand, eight hundred twenty-four".