41155155416340 has 384 divisors, whose sum is σ = 148192934400000. Its totient is φ = 9287250642432.

The previous prime is 41155155416339. The next prime is 41155155416371. The reversal of 41155155416340 is 4361455155114.

41155155416340 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 5 + 1 + 5 + 5 + 4 + 1 + 634 + 0 = 666.

41155155416340 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, 470252506 + ... + 470340014.

It is an arithmetic number, because the mean of its divisors is an integer number (385919100000).

Almost surely, 2^{41155155416340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41155155416340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74096467200000).

41155155416340 is an abundant number, since it is smaller than the sum of its proper divisors (107037778983660).

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

41155155416340 is a wasteful number, since it uses less digits than its factorization.

41155155416340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89116 (or 89108 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 41155155416340 in words is "forty-one trillion, one hundred fifty-five billion, one hundred fifty-five million, four hundred sixteen thousand, three hundred forty".