442950089706 has 80 divisors (see below), whose sum is σ = 999868617000. Its totient is φ = 146560620672.

The previous prime is 442950089683. The next prime is 442950089713. The reversal of 442950089706 is 607980059244.

442950089706 is a `hidden beast` number, since 4 + 42 + 9 + 500 + 8 + 97 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195235841025 + 247714248681 = 441855^2 + 497709^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41825860 + ... + 41836448.

Almost surely, 2^442950089706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442950089706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499934308500).

442950089706 is an abundant number, since it is smaller than the sum of its proper divisors (556918527294).

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

442950089706 is a wasteful number, since it uses less digits than its factorization.

442950089706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12476 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 442950089706 in words is "four hundred forty-two billion, nine hundred fifty million, eighty-nine thousand, seven hundred six".