41168025711648 has 960 divisors, whose sum is σ = 143657868017664. Its totient is φ = 11435136768000.

The previous prime is 41168025711619. The next prime is 41168025711661. The reversal of 41168025711648 is 84611752086114.

41168025711648 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 8 + 0 + 2 + 571 + 1 + 64 + 8 = 666.

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 = 41168025711594 and 41168025711603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2093882938 + ... + 2093902598.

Almost surely, 2^{41168025711648} is an apocalyptic number.

41168025711648 is a gapful number since it is divisible by the number (48) 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 41168025711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71828934008832).

41168025711648 is an abundant number, since it is smaller than the sum of its proper divisors (102489842306016).

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

41168025711648 is a wasteful number, since it uses less digits than its factorization.

41168025711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19851 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 41168025711648 in words is "forty-one trillion, one hundred sixty-eight billion, twenty-five million, seven hundred eleven thousand, six hundred forty-eight".