21442333242420 has 192 divisors, whose sum is σ = 68634970790400. Its totient is φ = 5554131655680.

The previous prime is 21442333242413. The next prime is 21442333242527. The reversal of 21442333242420 is 2424233324412.

21442333242420 is a `hidden beast` number, since 2 + 1 + 4 + 42 + 333 + 242 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2955457 + ... + 7184663.

It is an arithmetic number, because the mean of its divisors is an integer number (357473806200).

Almost surely, 2^{21442333242420} is an apocalyptic number.

21442333242420 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 21442333242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34317485395200).

21442333242420 is an abundant number, since it is smaller than the sum of its proper divisors (47192637547980).

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

21442333242420 is a wasteful number, since it uses less digits than its factorization.

21442333242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229495 (or 4229487 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 21442333242420 its reverse (2424233324412), we get a palindrome (23866566566832).

The spelling of 21442333242420 in words is "twenty-one trillion, four hundred forty-two billion, three hundred thirty-three million, two hundred forty-two thousand, four hundred twenty".