1032434221224 has 192 divisors, whose sum is σ = 3030001827840. Its totient is φ = 287167870080.

The previous prime is 1032434221219. The next prime is 1032434221319. The reversal of 1032434221224 is 4221224342301.

It is a junction number, because it is equal to n+sod(n) for n = 1032434221191 and 1032434221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96601209 + ... + 96611895.

It is an arithmetic number, because the mean of its divisors is an integer number (15781259520).

Almost surely, 2^{1032434221224} is an apocalyptic number.

1032434221224 is a gapful number since it is divisible by the number (14) 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 1032434221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515000913920).

1032434221224 is an abundant number, since it is smaller than the sum of its proper divisors (1997567606616).

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

1032434221224 is a wasteful number, since it uses less digits than its factorization.

1032434221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1032434221224 its reverse (4221224342301), we get a palindrome (5253658563525).

The spelling of 1032434221224 in words is "one trillion, thirty-two billion, four hundred thirty-four million, two hundred twenty-one thousand, two hundred twenty-four".