21004342020000 has 720 divisors, whose sum is σ = 78502556740608. Its totient is φ = 5318127360000.

The previous prime is 21004342019953. The next prime is 21004342020007. The reversal of 21004342020000 is 2024340012.

21004342020000 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 43 + 420 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21004342020007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 295704489 + ... + 295775511.

Almost surely, 2^{21004342020000} is an apocalyptic number.

21004342020000 is a gapful number since it is divisible by the number (20) 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 21004342020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39251278370304).

21004342020000 is an abundant number, since it is smaller than the sum of its proper divisors (57498214720608).

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

21004342020000 is a wasteful number, since it uses less digits than its factorization.

21004342020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71143 (or 71117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21004342020000 its reverse (2024340012), we get a palindrome (21006366360012).

The spelling of 21004342020000 in words is "twenty-one trillion, four billion, three hundred forty-two million, twenty thousand".