443436020634344 has 8 divisors (see below), whose sum is σ = 831442538689410. Its totient is φ = 221718010317168.

The previous prime is 443436020634293. The next prime is 443436020634377.

It is a happy number.

443436020634344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 296309746322500 + 147126274311844 = 17213650^2 + 12129562^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×443436020634344³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443436020634292 and 443436020634301.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27714751289639 + ... + 27714751289654.

Almost surely, 2^{443436020634344} is an apocalyptic number.

It is an amenable number.

443436020634344 is a deficient number, since it is larger than the sum of its proper divisors (388006518055066).

443436020634344 is a wasteful number, since it uses less digits than its factorization.

443436020634344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55429502579299 (or 55429502579295 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 50.

The spelling of 443436020634344 in words is "four hundred forty-three trillion, four hundred thirty-six billion, twenty million, six hundred thirty-four thousand, three hundred forty-four".