1002031441224 has 128 divisors (see below), whose sum is σ = 2786755881600. Its totient is φ = 297662044160.

The previous prime is 1002031441219. The next prime is 1002031441231. The reversal of 1002031441224 is 4221441302001.

1002031441224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1002031441194 and 1002031441203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16662442 + ... + 16722470.

It is an arithmetic number, because the mean of its divisors is an integer number (21771530325).

Almost surely, 2^{1002031441224} 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 1002031441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393377940800).

1002031441224 is an abundant number, since it is smaller than the sum of its proper divisors (1784724440376).

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

1002031441224 is a wasteful number, since it uses less digits than its factorization.

1002031441224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61295 (or 61291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1002031441224 its reverse (4221441302001), we get a palindrome (5223472743225).

The spelling of 1002031441224 in words is "one trillion, two billion, thirty-one million, four hundred forty-one thousand, two hundred twenty-four".