41768921300544 has 189 divisors, whose sum is σ = 126364844318193. Its totient is φ = 13189255017984.

The previous prime is 41768921300539. The next prime is 41768921300549. The reversal of 41768921300544 is 44500312986714.

The square root of 41768921300544 is 6462888.

It is a perfect power (a square), and thus also a powerful number.

41768921300544 is a `hidden beast` number, since 4 + 1 + 7 + 6 + 8 + 92 + 1 + 3 + 0 + 0 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (41768921300539) and next prime (41768921300549).

It can be written as a sum of positive squares in only one way, i.e., 36258221390400 + 5510699910144 = 6021480^2 + 2347488^2 .

It is a super-2 number, since 2×41768921300544² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41768921300549) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2947069842 + ... + 2947084014.

It is a 1-persistent number, because it is pandigital, but 2⋅41768921300544 = 83537842601088 is not.

Almost surely, 2^{41768921300544} is an apocalyptic number.

41768921300544 is the 6462888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41768921300544

41768921300544 is an abundant number, since it is smaller than the sum of its proper divisors (84595923017649).

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

41768921300544 is an frugal number, since it uses more digits than its factorization.

41768921300544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28402 (or 14197 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 41768921300544 in words is "forty-one trillion, seven hundred sixty-eight billion, nine hundred twenty-one million, three hundred thousand, five hundred forty-four".