42021320000000 has 640 divisors, whose sum is σ = 117206728075008. Its totient is φ = 14918400000000.

The previous prime is 42021319999993. The next prime is 42021320000039. The reversal of 42021320000000 is 2312024.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 42021320000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18919998890 + ... + 18920001110.

Almost surely, 2^{42021320000000} is an apocalyptic number.

42021320000000 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 42021320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58603364037504).

42021320000000 is an abundant number, since it is smaller than the sum of its proper divisors (75185408075008).

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

42021320000000 is an frugal number, since it uses more digits than its factorization.

42021320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 42021320000000 its reverse (2312024), we get a palindrome (42021322312024).

The spelling of 42021320000000 in words is "forty-two trillion, twenty-one billion, three hundred twenty million", and thus it is an aban number.