442214101412244 has 36 divisors (see below), whose sum is σ = 1277507404080544. Its totient is φ = 126346886117712.

The previous prime is 442214101412231. The next prime is 442214101412249.

442214101412244 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 1 + 410 + 14 + 1 + 224 + 4 = 666.

442214101412244 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×442214101412244² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442214101412199 and 442214101412208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442214101412249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877408931122 + ... + 877408931625.

Almost surely, 2^{442214101412244} is an apocalyptic number.

It is an amenable number.

442214101412244 is an abundant number, since it is smaller than the sum of its proper divisors (835293302668300).

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

442214101412244 is a wasteful number, since it uses less digits than its factorization.

442214101412244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754817862764 (or 1754817862759 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 44221410 and 1412244, that added together give a palindrome (45633654).

The spelling of 442214101412244 in words is "four hundred forty-two trillion, two hundred fourteen billion, one hundred one million, four hundred twelve thousand, two hundred forty-four".