20442440042010 has 192 divisors, whose sum is σ = 61368558451200. Its totient is φ = 4624509749760.

The previous prime is 20442440041999. The next prime is 20442440042179. The reversal of 20442440042010 is 1024004424402.

20442440042010 is a `hidden beast` number, since 204 + 4 + 2 + 4 + 400 + 42 + 0 + 10 = 666.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 112883016 + ... + 113063964.

It is an arithmetic number, because the mean of its divisors is an integer number (319627908600).

Almost surely, 2^{20442440042010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442440042010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30684279225600).

20442440042010 is an abundant number, since it is smaller than the sum of its proper divisors (40926118409190).

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

20442440042010 is a wasteful number, since it uses less digits than its factorization.

20442440042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182813 (or 182810 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20442440042010 its reverse (1024004424402), we get a palindrome (21466444466412).

The spelling of 20442440042010 in words is "twenty trillion, four hundred forty-two billion, four hundred forty million, forty-two thousand, ten".