20324024323040 has 288 divisors, whose sum is σ = 50094714811680. Its totient is φ = 7791453696000.

The previous prime is 20324024323039. The next prime is 20324024323087. The reversal of 20324024323040 is 4032342042302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20324024322994 and 20324024323012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16537041146 + ... + 16537042374.

It is an arithmetic number, because the mean of its divisors is an integer number (173939981985).

Almost surely, 2^{20324024323040} is an apocalyptic number.

20324024323040 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 20324024323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25047357405840).

20324024323040 is an abundant number, since it is smaller than the sum of its proper divisors (29770690488640).

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

20324024323040 is a wasteful number, since it uses less digits than its factorization.

20324024323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 20324024323040 its reverse (4032342042302), we get a palindrome (24356366365342).

The spelling of 20324024323040 in words is "twenty trillion, three hundred twenty-four billion, twenty-four million, three hundred twenty-three thousand, forty".