41153922342000 has 1280 divisors, whose sum is σ = 164758734766080. Its totient is φ = 9751104000000.

The previous prime is 41153922341989. The next prime is 41153922342077. The reversal of 41153922342000 is 24322935114.

41153922342000 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 3 + 9 + 223 + 420 + 0 + 0 = 666.

41153922342000 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 (36).

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 255 ways as a sum of consecutive naturals, for example, 4156537050 + ... + 4156546950.

It is an arithmetic number, because the mean of its divisors is an integer number (128717761536).

Almost surely, 2^{41153922342000} is an apocalyptic number.

41153922342000 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 41153922342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82379367383040).

41153922342000 is an abundant number, since it is smaller than the sum of its proper divisors (123604812424080).

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

41153922342000 is a wasteful number, since it uses less digits than its factorization.

41153922342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 41153922342000 in words is "forty-one trillion, one hundred fifty-three billion, nine hundred twenty-two million, three hundred forty-two thousand".