41115423480768 has 504 divisors, whose sum is σ = 149400282429216. Its totient is φ = 10579142246400.

The previous prime is 41115423480751. The next prime is 41115423480773. The reversal of 41115423480768 is 86708432451114.

It is a happy number.

41115423480768 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 542 + 34 + 8 + 0 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×41115423480768³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27201888 + ... + 28673568.

It is an arithmetic number, because the mean of its divisors is an integer number (296429131804).

Almost surely, 2^{41115423480768} is an apocalyptic number.

41115423480768 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 41115423480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74700141214608).

41115423480768 is an abundant number, since it is smaller than the sum of its proper divisors (108284858948448).

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

41115423480768 is a wasteful number, since it uses less digits than its factorization.

41115423480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471773 (or 1471747 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 41115423480768 in words is "forty-one trillion, one hundred fifteen billion, four hundred twenty-three million, four hundred eighty thousand, seven hundred sixty-eight".