20001234224400 has 720 divisors, whose sum is σ = 75901977045888. Its totient is φ = 4472263065600.

The previous prime is 20001234224359. The next prime is 20001234224417. The reversal of 20001234224400 is 442243210002.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 143 ways as a sum of consecutive naturals, for example, 2931439389 + ... + 2931446211.

Almost surely, 2^{20001234224400} is an apocalyptic number.

20001234224400 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 20001234224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37950988522944).

20001234224400 is an abundant number, since it is smaller than the sum of its proper divisors (55900742821488).

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

20001234224400 is a wasteful number, since it uses less digits than its factorization.

20001234224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20001234224400 its reverse (442243210002), we get a palindrome (20443477434402).

The spelling of 20001234224400 in words is "twenty trillion, one billion, two hundred thirty-four million, two hundred twenty-four thousand, four hundred".