41135680000 has 100 divisors (see below), whose sum is σ = 102706693650. Its totient is φ = 16454144000.

The previous prime is 41135679997. The next prime is 41135680007. The reversal of 41135680000 is 8653114.

It can be written as a sum of positive squares in 5 ways, for example, as 2926377216 + 38209302784 = 54096^2 + 195472^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (41135680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 255726 + ... + 384274.

Almost surely, 2^41135680000 is an apocalyptic number.

41135680000 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 41135680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51353346825).

41135680000 is an abundant number, since it is smaller than the sum of its proper divisors (61571013650).

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

41135680000 is an frugal number, since it uses more digits than its factorization.

41135680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128587 (or 128556 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 41135680000 in words is "forty-one billion, one hundred thirty-five million, six hundred eighty thousand".