1024432242300 has 288 divisors, whose sum is σ = 3415242521600. Its totient is φ = 263215422720.

The previous prime is 1024432242221. The next prime is 1024432242311. The reversal of 1024432242300 is 32422344201.

1024432242300 is a `hidden beast` number, since 10 + 24 + 4 + 322 + 4 + 2 + 300 = 666.

It is a super-2 number, since 2×1024432242300² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10239921 + ... + 10339479.

Almost surely, 2^{1024432242300} is an apocalyptic number.

1024432242300 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 1024432242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707621260800).

1024432242300 is an abundant number, since it is smaller than the sum of its proper divisors (2390810279300).

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

1024432242300 is a wasteful number, since it uses less digits than its factorization.

1024432242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99722 (or 99709 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1024432242300 its reverse (32422344201), we get a palindrome (1056854586501).

The spelling of 1024432242300 in words is "one trillion, twenty-four billion, four hundred thirty-two million, two hundred forty-two thousand, three hundred".