1002231444224 has 72 divisors (see below), whose sum is σ = 2032167145008. Its totient is φ = 493208432640.

The previous prime is 1002231444223. The next prime is 1002231444241. The reversal of 1002231444224 is 4224441322001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1002231444223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20231774 + ... + 20281250.

Almost surely, 2^{1002231444224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002231444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016083572504).

1002231444224 is an abundant number, since it is smaller than the sum of its proper divisors (1029935700784).

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

1002231444224 is an equidigital number, since it uses as much as digits as its factorization.

1002231444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50741 (or 50727 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 1002231444224 its reverse (4224441322001), we get a palindrome (5226672766225).

The spelling of 1002231444224 in words is "one trillion, two billion, two hundred thirty-one million, four hundred forty-four thousand, two hundred twenty-four".