411411114114 has 192 divisors, whose sum is σ = 1140342561792. Its totient is φ = 97250025600.

The previous prime is 411411114077. The next prime is 411411114157.

411411114114 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2916069 + ... + 3053895.

It is an arithmetic number, because the mean of its divisors is an integer number (5939284176).

Almost surely, 2^411411114114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411411114114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570171280896).

411411114114 is an abundant number, since it is smaller than the sum of its proper divisors (728931447678).

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

411411114114 is a wasteful number, since it uses less digits than its factorization.

411411114114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137941 (or 137934 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

It can be divided in two parts, 411411 and 114114, that added together give a palindrome (525525).

The spelling of 411411114114 in words is "four hundred eleven billion, four hundred eleven million, one hundred fourteen thousand, one hundred fourteen".