411331121133114 has 512 divisors, whose sum is σ = 1075762140364800. Its totient is φ = 104096403016704.

The previous prime is 411331121133047. The next prime is 411331121133143.

411331121133114 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50365016259 + ... + 50365024425.

It is an arithmetic number, because the mean of its divisors is an integer number (2101097930400).

Almost surely, 2^{411331121133114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411331121133114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537881070182400).

411331121133114 is an abundant number, since it is smaller than the sum of its proper divisors (664431019231686).

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

411331121133114 is a wasteful number, since it uses less digits than its factorization.

411331121133114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8925 counting only the distinct ones).

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

The spelling of 411331121133114 in words is "four hundred eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred fourteen".