41347162043136 has 720 divisors, whose sum is σ = 129907633400160. Its totient is φ = 13061171773440.

The previous prime is 41347162043123. The next prime is 41347162043177. The reversal of 41347162043136 is 63134026174314.

It is a happy number.

41347162043136 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 7 + 1 + 620 + 4 + 3 + 13 + 6 = 666.

41347162043136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41347162043091 and 41347162043100.

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 79 ways as a sum of consecutive naturals, for example, 23586514836 + ... + 23586516588.

Almost surely, 2^{41347162043136} 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 41347162043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64953816700080).

41347162043136 is an abundant number, since it is smaller than the sum of its proper divisors (88560471357024).

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

41347162043136 is a wasteful number, since it uses less digits than its factorization.

41347162043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 41347162043136 in words is "forty-one trillion, three hundred forty-seven billion, one hundred sixty-two million, forty-three thousand, one hundred thirty-six".