442314101413244 has 12 divisors (see below), whose sum is σ = 774465609607368. Its totient is φ = 221038212954000.

The previous prime is 442314101413241. The next prime is 442314101413271.

442314101413244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×442314101413244³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442314101413198 and 442314101413207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442314101413241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29709429782 + ... + 29709444669.

It is an arithmetic number, because the mean of its divisors is an integer number (64538800800614).

Almost surely, 2^{442314101413244} is an apocalyptic number.

It is an amenable number.

442314101413244 is a deficient number, since it is larger than the sum of its proper divisors (332151508194124).

442314101413244 is a wasteful number, since it uses less digits than its factorization.

442314101413244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59418876316 (or 59418876314 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 44231410 and 1413244, that added together give a palindrome (45644654).

The spelling of 442314101413244 in words is "four hundred forty-two trillion, three hundred fourteen billion, one hundred one million, four hundred thirteen thousand, two hundred forty-four".