41115975680 has 304 divisors, whose sum is σ = 112742676480. Its totient is φ = 14269022208.

The previous prime is 41115975631. The next prime is 41115975749. The reversal of 41115975680 is 8657951114.

It is a tau number, because it is divible by the number of its divisors (304).

It is a super-2 number, since 2×41115975680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323747777 + ... + 323747903.

Almost surely, 2^41115975680 is an apocalyptic number.

41115975680 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 41115975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56371338240).

41115975680 is an abundant number, since it is smaller than the sum of its proper divisors (71626700800).

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

41115975680 is an equidigital number, since it uses as much as digits as its factorization.

41115975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 47.

The spelling of 41115975680 in words is "forty-one billion, one hundred fifteen million, nine hundred seventy-five thousand, six hundred eighty".