41101175104416 has 384 divisors, whose sum is σ = 140519630684160. Its totient is φ = 11443991648256.

The previous prime is 41101175104373. The next prime is 41101175104427. The reversal of 41101175104416 is 61440157110114.

41101175104416 is a `hidden beast` number, since 4 + 1 + 10 + 117 + 510 + 4 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65921365 + ... + 66541931.

It is an arithmetic number, because the mean of its divisors is an integer number (365936538240).

Almost surely, 2^{41101175104416} 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 41101175104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70259815342080).

41101175104416 is an abundant number, since it is smaller than the sum of its proper divisors (99418455579744).

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

41101175104416 is a wasteful number, since it uses less digits than its factorization.

41101175104416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620873 (or 620859 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 41101175104416 in words is "forty-one trillion, one hundred one billion, one hundred seventy-five million, one hundred four thousand, four hundred sixteen".