442314413244 has 72 divisors (see below), whose sum is σ = 1220537380608. Its totient is φ = 133944354720.

The previous prime is 442314413243. The next prime is 442314413257.

442314413244 is a `hidden beast` number, since 4 + 4 + 231 + 4 + 413 + 2 + 4 + 4 = 666.

442314413244 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442314413199 and 442314413208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442314413243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213279 + ... + 964425.

It is an arithmetic number, because the mean of its divisors is an integer number (16951908064).

Almost surely, 2^442314413244 is an apocalyptic number.

442314413244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442314413244 is an abundant number, since it is smaller than the sum of its proper divisors (778222967364).

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

442314413244 is a wasteful number, since it uses less digits than its factorization.

442314413244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752655 (or 752650 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 442314 and 413244, that added together give a palindrome (855558).

The spelling of 442314413244 in words is "four hundred forty-two billion, three hundred fourteen million, four hundred thirteen thousand, two hundred forty-four".