41106559112640 has 896 divisors, whose sum is σ = 168549055027200. Its totient is φ = 9236219166720.

The previous prime is 41106559112623. The next prime is 41106559112713. The reversal of 41106559112640 is 4621195560114.

41106559112640 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 6 + 5 + 591 + 12 + 6 + 40 = 666.

41106559112640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12281611447 + ... + 12281614793.

Almost surely, 2^{41106559112640} is an apocalyptic number.

41106559112640 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 41106559112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84274527513600).

41106559112640 is an abundant number, since it is smaller than the sum of its proper divisors (127442495914560).

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

41106559112640 is a wasteful number, since it uses less digits than its factorization.

41106559112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 41106559112640 in words is "forty-one trillion, one hundred six billion, five hundred fifty-nine million, one hundred twelve thousand, six hundred forty".