442401333152 has 48 divisors (see below), whose sum is σ = 882497306880. Its totient is φ = 218281239552.

The previous prime is 442401333149. The next prime is 442401333163. The reversal of 442401333152 is 251333104244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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, 2195624 + ... + 2388632.

It is an arithmetic number, because the mean of its divisors is an integer number (18385360560).

Almost surely, 2^442401333152 is an apocalyptic number.

It is an amenable number.

442401333152 is a deficient number, since it is larger than the sum of its proper divisors (440095973728).

442401333152 is a wasteful number, since it uses less digits than its factorization.

442401333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193965 (or 193957 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 442401333152 its reverse (251333104244), we get a palindrome (693734437396).

The spelling of 442401333152 in words is "four hundred forty-two billion, four hundred one million, three hundred thirty-three thousand, one hundred fifty-two".