442608106752 has 216 divisors, whose sum is σ = 1459937955840. Its totient is φ = 126330900480.

The previous prime is 442608106741. The next prime is 442608106771. The reversal of 442608106752 is 257601806244.

442608106752 is a `hidden beast` number, since 442 + 60 + 81 + 0 + 6 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 442608106698 and 442608106707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16453249 + ... + 16480127.

Almost surely, 2^442608106752 is an apocalyptic number.

442608106752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442608106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729968977920).

442608106752 is an abundant number, since it is smaller than the sum of its proper divisors (1017329849088).

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

442608106752 is a wasteful number, since it uses less digits than its factorization.

442608106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27929 (or 27912 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 442608106752 in words is "four hundred forty-two billion, six hundred eight million, one hundred six thousand, seven hundred fifty-two".