1002303024320 has 224 divisors, whose sum is σ = 2638399006656. Its totient is φ = 360400896000.

The previous prime is 1002303024319. The next prime is 1002303024379. The reversal of 1002303024320 is 234203032001.

It is a super-2 number, since 2×1002303024320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1002303024292 and 1002303024301.

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, 25610207 + ... + 25649313.

It is an arithmetic number, because the mean of its divisors is an integer number (11778566994).

Almost surely, 2^{1002303024320} is an apocalyptic number.

1002303024320 is a gapful number since it is divisible by the number (10) 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 1002303024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319199503328).

1002303024320 is an abundant number, since it is smaller than the sum of its proper divisors (1636095982336).

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

1002303024320 is a wasteful number, since it uses less digits than its factorization.

1002303024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39299 (or 39289 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1002303024320 its reverse (234203032001), we get a palindrome (1236506056321).

The spelling of 1002303024320 in words is "one trillion, two billion, three hundred three million, twenty-four thousand, three hundred twenty".