41782517660160 has 1120 divisors, whose sum is σ = 164524493129040. Its totient is φ = 10124763070464.

The previous prime is 41782517660141. The next prime is 41782517660161. The reversal of 41782517660160 is 6106671528714.

41782517660160 is a `hidden beast` number, since 4 + 1 + 7 + 8 + 2 + 517 + 6 + 60 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10731232532736 + 31051285127424 = 3275856^2 + 5572368^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 41782517660097 and 41782517660106.

It is not an unprimeable number, because it can be changed into a prime (41782517660161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 920033614 + ... + 920079026.

Almost surely, 2^{41782517660160} is an apocalyptic number.

41782517660160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41782517660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82262246564520).

41782517660160 is an abundant number, since it is smaller than the sum of its proper divisors (122741975468880).

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

41782517660160 is an equidigital number, since it uses as much as digits as its factorization.

41782517660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45500 (or 45469 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 41782517660160 in words is "forty-one trillion, seven hundred eighty-two billion, five hundred seventeen million, six hundred sixty thousand, one hundred sixty".