20443141441440 has 288 divisors, whose sum is σ = 72356601373056. Its totient is φ = 5450706017280.

The previous prime is 20443141441421. The next prime is 20443141441517. The reversal of 20443141441440 is 4414414134402.

20443141441440 is a `hidden beast` number, since 2 + 0 + 4 + 431 + 41 + 44 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 20443141441395 and 20443141441404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294403525 + ... + 294472955.

It is an arithmetic number, because the mean of its divisors is an integer number (251238199212).

Almost surely, 2^{20443141441440} is an apocalyptic number.

20443141441440 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 20443141441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36178300686528).

20443141441440 is an abundant number, since it is smaller than the sum of its proper divisors (51913459931616).

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

20443141441440 is an equidigital number, since it uses as much as digits as its factorization.

20443141441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77034 (or 77014 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 20443141441440 its reverse (4414414134402), we get a palindrome (24857555575842).

The spelling of 20443141441440 in words is "twenty trillion, four hundred forty-three billion, one hundred forty-one million, four hundred forty-one thousand, four hundred forty".