214144141441412 has 96 divisors (see below), whose sum is σ = 488415805420032. Its totient is φ = 79724740294656.

The previous prime is 214144141441393. The next prime is 214144141441441.

214144141441412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57749018 + ... + 61345230.

It is an arithmetic number, because the mean of its divisors is an integer number (5087664639792).

Almost surely, 2^{214144141441412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214144141441412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244207902710016).

214144141441412 is an abundant number, since it is smaller than the sum of its proper divisors (274271663978620).

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

214144141441412 is a wasteful number, since it uses less digits than its factorization.

214144141441412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605877 (or 3605875 counting only the distinct ones).

The product of its digits is 65536, while the sum is 38.

The spelling of 214144141441412 in words is "two hundred fourteen trillion, one hundred forty-four billion, one hundred forty-one million, four hundred forty-one thousand, four hundred twelve".