20405144024424 has 96 divisors (see below), whose sum is σ = 59219748544320. Its totient is φ = 6324485902848.

The previous prime is 20405144024413. The next prime is 20405144024437. The reversal of 20405144024424 is 42442044150402.

20405144024424 is a `hidden beast` number, since 2 + 0 + 40 + 514 + 40 + 2 + 44 + 24 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100325332 + ... + 100528515.

It is an arithmetic number, because the mean of its divisors is an integer number (616872380670).

Almost surely, 2^{20405144024424} is an apocalyptic number.

20405144024424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20405144024424 is an abundant number, since it is smaller than the sum of its proper divisors (38814604519896).

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

20405144024424 is a wasteful number, since it uses less digits than its factorization.

20405144024424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200853959 (or 200853952 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 20405144024424 its reverse (42442044150402), we get a palindrome (62847188174826).

The spelling of 20405144024424 in words is "twenty trillion, four hundred five billion, one hundred forty-four million, twenty-four thousand, four hundred twenty-four".