411141141114 has 128 divisors (see below), whose sum is σ = 924732979200. Its totient is φ = 120814848000.

The previous prime is 411141141109. The next prime is 411141141157.

411141141114 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×411141141114² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75449862 + ... + 75455310.

It is an arithmetic number, because the mean of its divisors is an integer number (7224476400).

Almost surely, 2^411141141114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411141141114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462366489600).

411141141114 is an abundant number, since it is smaller than the sum of its proper divisors (513591838086).

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

411141141114 is a wasteful number, since it uses less digits than its factorization.

411141141114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796.

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

It can be divided in two parts, 411141 and 141114, that added together give a palindrome (552255).

The spelling of 411141141114 in words is "four hundred eleven billion, one hundred forty-one million, one hundred forty-one thousand, one hundred fourteen".