442432052406 has 48 divisors (see below), whose sum is σ = 986117927184. Its totient is φ = 143257263552.

The previous prime is 442432052353. The next prime is 442432052407. The reversal of 442432052406 is 604250234244.

442432052406 is a `hidden beast` number, since 4 + 4 + 2 + 43 + 205 + 2 + 406 = 666.

It is a super-2 number, since 2×442432052406² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442432052407) 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 23 ways as a sum of consecutive naturals, for example, 133596 + ... + 950111.

It is an arithmetic number, because the mean of its divisors is an integer number (20544123483).

Almost surely, 2^442432052406 is an apocalyptic number.

442432052406 is an abundant number, since it is smaller than the sum of its proper divisors (543685874778).

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

442432052406 is a wasteful number, since it uses less digits than its factorization.

442432052406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084365 (or 1084362 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 442432052406 in words is "four hundred forty-two billion, four hundred thirty-two million, fifty-two thousand, four hundred six".