411441144114 has 384 divisors, whose sum is σ = 1210681575936. Its totient is φ = 90326016000.

The previous prime is 411441144089. The next prime is 411441144167.

411441144114 is nontrivially palindromic in base 10.

411441144114 is a modest number, since divided by 41144114 gives 4114 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41550564 + ... + 41560464.

It is an arithmetic number, because the mean of its divisors is an integer number (3152816604).

Almost surely, 2^411441144114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411441144114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605340787968).

411441144114 is an abundant number, since it is smaller than the sum of its proper divisors (799240431822).

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

411441144114 is a wasteful number, since it uses less digits than its factorization.

411441144114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10002 (or 9991 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 411441 and 144114, that added together give a palindrome (555555).

The spelling of 411441144114 in words is "four hundred eleven billion, four hundred forty-one million, one hundred forty-four thousand, one hundred fourteen".