1032224313344 has 104 divisors (see below), whose sum is σ = 2372729563200. Its totient is φ = 439822614528.

The previous prime is 1032224313311. The next prime is 1032224313347. The reversal of 1032224313344 is 4433134222301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1032224313344.

It is not an unprimeable number, because it can be changed into a prime (1032224313347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4856207 + ... + 5064305.

Almost surely, 2^{1032224313344} is an apocalyptic number.

1032224313344 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 1032224313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186364781600).

1032224313344 is an abundant number, since it is smaller than the sum of its proper divisors (1340505249856).

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

1032224313344 is an equidigital number, since it uses as much as digits as its factorization.

1032224313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208303 (or 208281 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1032224313344 its reverse (4433134222301), we get a palindrome (5465358535645).

The spelling of 1032224313344 in words is "one trillion, thirty-two billion, two hundred twenty-four million, three hundred thirteen thousand, three hundred forty-four".