442516624336 has 40 divisors (see below), whose sum is σ = 894706663680. Its totient is φ = 211625732736.

The previous prime is 442516624307. The next prime is 442516624337. The reversal of 442516624336 is 633426615244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442516624337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9721566 + ... + 9766978.

It is an arithmetic number, because the mean of its divisors is an integer number (22367666592).

Almost surely, 2^442516624336 is an apocalyptic number.

442516624336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

442516624336 is an abundant number, since it is smaller than the sum of its proper divisors (452190039344).

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

442516624336 is a wasteful number, since it uses less digits than its factorization.

442516624336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71923 (or 71917 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 46.

The spelling of 442516624336 in words is "four hundred forty-two billion, five hundred sixteen million, six hundred twenty-four thousand, three hundred thirty-six".