41100095359488 has 320 divisors, whose sum is σ = 121512742686720. Its totient is φ = 12240309043200.

The previous prime is 41100095359447. The next prime is 41100095359489. The reversal of 41100095359488 is 88495359000114.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41100095359489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380224233 + ... + 380332311.

It is an arithmetic number, because the mean of its divisors is an integer number (379727320896).

Almost surely, 2^{41100095359488} is an apocalyptic number.

41100095359488 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 41100095359488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60756371343360).

41100095359488 is an abundant number, since it is smaller than the sum of its proper divisors (80412647327232).

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

41100095359488 is a wasteful number, since it uses less digits than its factorization.

41100095359488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108499 (or 108483 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 41100095359488 in words is "forty-one trillion, one hundred billion, ninety-five million, three hundred fifty-nine thousand, four hundred eighty-eight".