41090114560 has 176 divisors, whose sum is σ = 112207565952. Its totient is φ = 14291763200.

The previous prime is 41090114531. The next prime is 41090114563. The reversal of 41090114560 is 6541109014.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (41090114563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279500 + ... + 1311220.

Almost surely, 2^41090114560 is an apocalyptic number.

41090114560 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 41090114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56103782976).

41090114560 is an abundant number, since it is smaller than the sum of its proper divisors (71117451392).

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

41090114560 is a wasteful number, since it uses less digits than its factorization.

41090114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31780 (or 31762 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 41090114560 in words is "forty-one billion, ninety million, one hundred fourteen thousand, five hundred sixty".