20024414324420 has 96 divisors (see below), whose sum is σ = 46513125179136. Its totient is φ = 7180220160000.

The previous prime is 20024414324351. The next prime is 20024414324471. The reversal of 20024414324420 is 2442341442002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71439545 + ... + 71719295.

It is an arithmetic number, because the mean of its divisors is an integer number (484511720616).

Almost surely, 2^{20024414324420} is an apocalyptic number.

20024414324420 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 20024414324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256562589568).

20024414324420 is an abundant number, since it is smaller than the sum of its proper divisors (26488710854716).

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

20024414324420 is a wasteful number, since it uses less digits than its factorization.

20024414324420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284301 (or 284299 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 20024414324420 its reverse (2442341442002), we get a palindrome (22466755766422).

The spelling of 20024414324420 in words is "twenty trillion, twenty-four billion, four hundred fourteen million, three hundred twenty-four thousand, four hundred twenty".