214241303142412 has 96 divisors (see below), whose sum is σ = 466087218508800. Its totient is φ = 83902018579200.

The previous prime is 214241303142409. The next prime is 214241303142443.

214241303142412 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227430003 + ... + 228370069.

It is an arithmetic number, because the mean of its divisors is an integer number (4855075192800).

Almost surely, 2^{214241303142412} 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 214241303142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233043609254400).

214241303142412 is an abundant number, since it is smaller than the sum of its proper divisors (251845915366388).

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

214241303142412 is a wasteful number, since it uses less digits than its factorization.

214241303142412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946391 (or 946389 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 21424130 and 3142412, that added together give a palindrome (24566542).

The spelling of 214241303142412 in words is "two hundred fourteen trillion, two hundred forty-one billion, three hundred three million, one hundred forty-two thousand, four hundred twelve".