41121511512114 has 64 divisors (see below), whose sum is σ = 90584367068160. Its totient is φ = 12341033497920.

The previous prime is 41121511512089. The next prime is 41121511512131.

41121511512114 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23614972 + ... + 25296440.

It is an arithmetic number, because the mean of its divisors is an integer number (1415380735440).

Almost surely, 2^{41121511512114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41121511512114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45292183534080).

41121511512114 is an abundant number, since it is smaller than the sum of its proper divisors (49462855556046).

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

41121511512114 is a wasteful number, since it uses less digits than its factorization.

41121511512114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685055.

The product of its digits is 1600, while the sum is 30.

It can be divided in two parts, 4112151 and 1512114, that added together give a palindrome (5624265).

The spelling of 41121511512114 in words is "forty-one trillion, one hundred twenty-one billion, five hundred eleven million, five hundred twelve thousand, one hundred fourteen".