1002223145430 has 288 divisors, whose sum is σ = 2934712246752. Its totient is φ = 237004185600.

The previous prime is 1002223145411. The next prime is 1002223145437. The reversal of 1002223145430 is 345413222001.

1002223145430 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 223 + 1 + 4 + 5 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1002223145394 and 1002223145403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002223145437) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39883270 + ... + 39908390.

It is an arithmetic number, because the mean of its divisors is an integer number (10189973079).

Almost surely, 2^{1002223145430} is an apocalyptic number.

1002223145430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002223145430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467356123376).

1002223145430 is an abundant number, since it is smaller than the sum of its proper divisors (1932489101322).

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

1002223145430 is a wasteful number, since it uses less digits than its factorization.

1002223145430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25264 (or 25248 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1002223145430 its reverse (345413222001), we get a palindrome (1347636367431).

The spelling of 1002223145430 in words is "one trillion, two billion, two hundred twenty-three million, one hundred forty-five thousand, four hundred thirty".