20224000424000 has 112 divisors (see below), whose sum is σ = 50173708680576. Its totient is φ = 8075229632000.

The previous prime is 20224000423973. The next prime is 20224000424021. The reversal of 20224000424000 is 42400042202.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 2258885 + ... + 6749115.

Almost surely, 2^{20224000424000} is an apocalyptic number.

20224000424000 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 20224000424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25086854340288).

20224000424000 is an abundant number, since it is smaller than the sum of its proper divisors (29949708256576).

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

20224000424000 is an equidigital number, since it uses as much as digits as its factorization.

20224000424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490821 (or 4490801 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20224000424000 its reverse (42400042202), we get a palindrome (20266400466202).

The spelling of 20224000424000 in words is "twenty trillion, two hundred twenty-four billion, four hundred twenty-four thousand".