214443001300441 has 8 divisors (see below), whose sum is σ = 214735267020168. Its totient is φ = 214150905360000.

The previous prime is 214443001300399. The next prime is 214443001300447. The reversal of 214443001300441 is 144003100344412.

214443001300441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6759480010000 + 207683521290441 = 2599900^2 + 14411229^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214443001300441 - 2³¹ = 214440853816793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214443001300447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39916860 + ... + 44969341.

It is an arithmetic number, because the mean of its divisors is an integer number (26841908377521).

Almost surely, 2^{214443001300441} is an apocalyptic number.

It is an amenable number.

214443001300441 is a deficient number, since it is larger than the sum of its proper divisors (292265719727).

214443001300441 is a wasteful number, since it uses less digits than its factorization.

214443001300441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84889643.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 214443001300441 its reverse (144003100344412), we get a palindrome (358446101644853).

The spelling of 214443001300441 in words is "two hundred fourteen trillion, four hundred forty-three billion, one million, three hundred thousand, four hundred forty-one".