20424140240200 has 192 divisors, whose sum is σ = 50123135664000. Its totient is φ = 7724238551040.

The previous prime is 20424140240191. The next prime is 20424140240201. The reversal of 20424140240200 is 204204142402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20424140240201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845160266 + ... + 1845171334.

It is an arithmetic number, because the mean of its divisors is an integer number (261057998250).

Almost surely, 2^{20424140240200} is an apocalyptic number.

20424140240200 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 20424140240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061567832000).

20424140240200 is an abundant number, since it is smaller than the sum of its proper divisors (29698995423800).

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

20424140240200 is a wasteful number, since it uses less digits than its factorization.

20424140240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15704 (or 15695 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 20424140240200 its reverse (204204142402), we get a palindrome (20628344382602).

The spelling of 20424140240200 in words is "twenty trillion, four hundred twenty-four billion, one hundred forty million, two hundred forty thousand, two hundred".