1024130320200 has 960 divisors, whose sum is σ = 4054626945600. Its totient is φ = 237497702400.

The previous prime is 1024130320133. The next prime is 1024130320249. The reversal of 1024130320200 is 20230314201.

1024130320200 is a `hidden beast` number, since 10 + 2 + 4 + 130 + 320 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 844294794 + ... + 844296006.

It is an arithmetic number, because the mean of its divisors is an integer number (4223569735).

Almost surely, 2^{1024130320200} is an apocalyptic number.

1024130320200 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 1024130320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027313472800).

1024130320200 is an abundant number, since it is smaller than the sum of its proper divisors (3030496625400).

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

1024130320200 is a wasteful number, since it uses less digits than its factorization.

1024130320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1024130320200 its reverse (20230314201), we get a palindrome (1044360634401).

The spelling of 1024130320200 in words is "one trillion, twenty-four billion, one hundred thirty million, three hundred twenty thousand, two hundred".