41155913644608 has 672 divisors, whose sum is σ = 133644298884096. Its totient is φ = 11130255360000.

The previous prime is 41155913644537. The next prime is 41155913644627. The reversal of 41155913644608 is 80644631955114.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3220079178 + ... + 3220091958.

It is an arithmetic number, because the mean of its divisors is an integer number (198875444768).

Almost surely, 2^{41155913644608} is an apocalyptic number.

41155913644608 is a gapful number since it is divisible by the number (48) 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 41155913644608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66822149442048).

41155913644608 is an abundant number, since it is smaller than the sum of its proper divisors (92488385239488).

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

41155913644608 is a wasteful number, since it uses less digits than its factorization.

41155913644608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13083 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 41155913644608 in words is "forty-one trillion, one hundred fifty-five billion, nine hundred thirteen million, six hundred forty-four thousand, six hundred eight".