41085671479776 has 1440 divisors, whose sum is σ = 154870232090112. Its totient is φ = 10565625692160.

The previous prime is 41085671479681. The next prime is 41085671479819. The reversal of 41085671479776 is 67797417658014.

41085671479776 is a `hidden beast` number, since 4 + 1 + 0 + 85 + 6 + 7 + 1 + 479 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 111950058345 + ... + 111950058711.

Almost surely, 2^{41085671479776} 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 41085671479776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77435116045056).

41085671479776 is an abundant number, since it is smaller than the sum of its proper divisors (113784560610336).

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

41085671479776 is a wasteful number, since it uses less digits than its factorization.

41085671479776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 41085671479776 in words is "forty-one trillion, eighty-five billion, six hundred seventy-one million, four hundred seventy-nine thousand, seven hundred seventy-six".