411133121331114 has 96 divisors (see below), whose sum is σ = 1045082717804160. Its totient is φ = 105500153431296.

The previous prime is 411133121331109. The next prime is 411133121331167.

411133121331114 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782472369 + ... + 782997620.

It is an arithmetic number, because the mean of its divisors is an integer number (10886278310460).

Almost surely, 2^{411133121331114} is an apocalyptic number.

411133121331114 is an abundant number, since it is smaller than the sum of its proper divisors (633949596473046).

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

411133121331114 is a wasteful number, since it uses less digits than its factorization.

411133121331114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565470064 (or 1565470051 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The spelling of 411133121331114 in words is "four hundred eleven trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred fourteen".