21344424420000 has 960 divisors, whose sum is σ = 79798984151040. Its totient is φ = 4946764800000.

The previous prime is 21344424419971. The next prime is 21344424420023. The reversal of 21344424420000 is 2442444312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 21344424420000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1698173716 + ... + 1698186284.

It is an arithmetic number, because the mean of its divisors is an integer number (83123941824).

Almost surely, 2^{21344424420000} is an apocalyptic number.

21344424420000 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 21344424420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39899492075520).

21344424420000 is an abundant number, since it is smaller than the sum of its proper divisors (58454559731040).

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

21344424420000 is a wasteful number, since it uses less digits than its factorization.

21344424420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12727 (or 12704 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 21344424420000 its reverse (2442444312), we get a palindrome (21346866864312).

The spelling of 21344424420000 in words is "twenty-one trillion, three hundred forty-four billion, four hundred twenty-four million, four hundred twenty thousand".