41806440324100 has 81 divisors (see below), whose sum is σ = 92697994335583. Its totient is φ = 16365586932160.

The previous prime is 41806440324079. The next prime is 41806440324101. The reversal of 41806440324100 is 142304460814.

The square root of 41806440324100 is 6465790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18258170069764 + 23548270254336 = 4272958^2 + 4852656^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41806440324100.

It is not an unprimeable number, because it can be changed into a prime (41806440324101) 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, 3038914422 + ... + 3038928178.

Almost surely, 2^{41806440324100} is an apocalyptic number.

41806440324100 is the 6465790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41806440324100

41806440324100 is an abundant number, since it is smaller than the sum of its proper divisors (50891554011483).

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

41806440324100 is an frugal number, since it uses more digits than its factorization.

41806440324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27622 (or 13811 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 41806440324100 its reverse (142304460814), we get a palindrome (41948744784914).

The spelling of 41806440324100 in words is "forty-one trillion, eight hundred six billion, four hundred forty million, three hundred twenty-four thousand, one hundred".