442025367552 has 72 divisors (see below), whose sum is σ = 1276650467820. Its totient is φ = 147341783040.

The previous prime is 442025367547. The next prime is 442025367559. The reversal of 442025367552 is 255763520244.

442025367552 is a `hidden beast` number, since 4 + 42 + 0 + 2 + 53 + 6 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 442025367498 and 442025367507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442025367559) 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 5 ways as a sum of consecutive naturals, for example, 11972274 + ... + 12009137.

Almost surely, 2^442025367552 is an apocalyptic number.

It is an amenable number.

442025367552 is an abundant number, since it is smaller than the sum of its proper divisors (834625100268).

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

442025367552 is a wasteful number, since it uses less digits than its factorization.

442025367552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23981439 (or 23981416 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

Adding to 442025367552 its reverse (255763520244), we get a palindrome (697788887796).

The spelling of 442025367552 in words is "four hundred forty-two billion, twenty-five million, three hundred sixty-seven thousand, five hundred fifty-two".