41863605788160 has 1200 divisors, whose sum is σ = 162759985131744. Its totient is φ = 10265705496576.

The previous prime is 41863605788077. The next prime is 41863605788161. The reversal of 41863605788160 is 6188750636814.

41863605788160 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 3 + 605 + 7 + 8 + 8 + 16 + 0 = 666.

It is a super-2 number, since 2×41863605788160² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41863605788161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 159177208189 + ... + 159177208451.

Almost surely, 2^{41863605788160} is an apocalyptic number.

41863605788160 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 41863605788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81379992565872).

41863605788160 is an abundant number, since it is smaller than the sum of its proper divisors (120896379343584).

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

41863605788160 is an frugal number, since it uses more digits than its factorization.

41863605788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 41863605788160 in words is "forty-one trillion, eight hundred sixty-three billion, six hundred five million, seven hundred eighty-eight thousand, one hundred sixty".