42020636000 has 144 divisors (see below), whose sum is σ = 120101540832. Its totient is φ = 14407008000.

The previous prime is 42020635981. The next prime is 42020636003. The reversal of 42020636000 is 63602024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020636003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88805 + ... + 303195.

It is an arithmetic number, because the mean of its divisors is an integer number (834038478).

Almost surely, 2^42020636000 is an apocalyptic number.

42020636000 is a gapful number since it is divisible by the number (40) 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 42020636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60050770416).

42020636000 is an abundant number, since it is smaller than the sum of its proper divisors (78080904832).

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

42020636000 is a wasteful number, since it uses less digits than its factorization.

42020636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214430 (or 214405 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The spelling of 42020636000 in words is "forty-two billion, twenty million, six hundred thirty-six thousand".