10411115343876 has 135 divisors (see below), whose sum is σ = 29473488355311. Its totient is φ = 3203187788736.

The previous prime is 10411115343847. The next prime is 10411115343877. The reversal of 10411115343876 is 67834351111401.

The square root of 10411115343876 is 3226626.

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

10411115343876 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 1 + 11 + 534 + 38 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 514906704900 + 9896208638976 = 717570^2 + 3145824^2 .

It is not an unprimeable number, because it can be changed into a prime (10411115343877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 755023590 + ... + 755037378.

Almost surely, 2^{10411115343876} is an apocalyptic number.

10411115343876 is the 3226626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411115343876

10411115343876 is an abundant number, since it is smaller than the sum of its proper divisors (19062373011435).

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

10411115343876 is an frugal number, since it uses more digits than its factorization.

10411115343876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27620 (or 13807 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10411115343876 in words is "ten trillion, four hundred eleven billion, one hundred fifteen million, three hundred forty-three thousand, eight hundred seventy-six".