442634404436244 has 24 divisors (see below), whose sum is σ = 1147570678168320. Its totient is φ = 147544801478712.

The previous prime is 442634404436239. The next prime is 442634404436311.

It is a happy number.

442634404436244 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 3 + 4 + 4 + 0 + 4 + 4 + 3 + 624 + 4 = 666.

442634404436244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×442634404436244³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2049233353764 + ... + 2049233353979.

It is an arithmetic number, because the mean of its divisors is an integer number (47815444923680).

Almost surely, 2^{442634404436244} is an apocalyptic number.

It is an amenable number.

442634404436244 is an abundant number, since it is smaller than the sum of its proper divisors (704936273732076).

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

442634404436244 is a wasteful number, since it uses less digits than its factorization.

442634404436244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098466707756 (or 4098466707748 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 54.

It can be divided in two parts, 44263440 and 4436244, that added together give a palindrome (48699684).

The spelling of 442634404436244 in words is "four hundred forty-two trillion, six hundred thirty-four billion, four hundred four million, four hundred thirty-six thousand, two hundred forty-four".