41825667461760 has 3456 divisors, whose sum is σ = 198011658499200. Its totient is φ = 8350137040896.

The previous prime is 41825667461731. The next prime is 41825667461771. The reversal of 41825667461760 is 6716476652814.

41825667461760 is a `hidden beast` number, since 4 + 1 + 8 + 2 + 5 + 6 + 6 + 7 + 4 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 50820980709 + ... + 50820981531.

It is an arithmetic number, because the mean of its divisors is an integer number (57295040075).

Almost surely, 2^{41825667461760} is an apocalyptic number.

41825667461760 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 41825667461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99005829249600).

41825667461760 is an abundant number, since it is smaller than the sum of its proper divisors (156185991037440).

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

41825667461760 is an equidigital number, since it uses as much as digits as its factorization.

41825667461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 41825667461760 in words is "forty-one trillion, eight hundred twenty-five billion, six hundred sixty-seven million, four hundred sixty-one thousand, seven hundred sixty".