1003305322240 has 144 divisors (see below), whose sum is σ = 2591527228416. Its totient is φ = 369959731200.

The previous prime is 1003305322237. The next prime is 1003305322241. The reversal of 1003305322240 is 422235033001.

It is a super-2 number, since 2×1003305322240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003305322241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12623425 + ... + 12702655.

It is an arithmetic number, because the mean of its divisors is an integer number (17996716864).

Almost surely, 2^{1003305322240} is an apocalyptic number.

1003305322240 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 1003305322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295763614208).

1003305322240 is an abundant number, since it is smaller than the sum of its proper divisors (1588221906176).

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

1003305322240 is an equidigital number, since it uses as much as digits as its factorization.

1003305322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80026 (or 80012 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The spelling of 1003305322240 in words is "one trillion, three billion, three hundred five million, three hundred twenty-two thousand, two hundred forty".