1024242424200 has 288 divisors, whose sum is σ = 3682220156160. Its totient is φ = 264320236800.

The previous prime is 1024242424159. The next prime is 1024242424217. The reversal of 1024242424200 is 24242424201.

1024242424200 is a `hidden beast` number, since 10 + 2 + 4 + 2 + 424 + 24 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1166682 + ... + 1846518.

Almost surely, 2^{1024242424200} is an apocalyptic number.

1024242424200 is a gapful number since it is divisible by the number (10) 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 1024242424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841110078080).

1024242424200 is an abundant number, since it is smaller than the sum of its proper divisors (2657977731960).

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

1024242424200 is a wasteful number, since it uses less digits than its factorization.

1024242424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679899 (or 679878 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 1024242424200 its reverse (24242424201), we get a palindrome (1048484848401).

Subtracting from 1024242424200 its reverse (24242424201), we obtain a palindrome (999999999999).

The spelling of 1024242424200 in words is "one trillion, twenty-four billion, two hundred forty-two million, four hundred twenty-four thousand, two hundred".