20424342224100 has 432 divisors, whose sum is σ = 63442845648000. Its totient is φ = 5066575073280.

The previous prime is 20424342224093. The next prime is 20424342224101. The reversal of 20424342224100 is 142224342402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20424342224101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1226752576 + ... + 1226769224.

It is an arithmetic number, because the mean of its divisors is an integer number (146858439000).

Almost surely, 2^{20424342224100} is an apocalyptic number.

20424342224100 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 20424342224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31721422824000).

20424342224100 is an abundant number, since it is smaller than the sum of its proper divisors (43018503423900).

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

20424342224100 is a wasteful number, since it uses less digits than its factorization.

20424342224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16872 (or 16828 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20424342224100 its reverse (142224342402), we get a palindrome (20566566566502).

The spelling of 20424342224100 in words is "twenty trillion, four hundred twenty-four billion, three hundred forty-two million, two hundred twenty-four thousand, one hundred".