1003221311040 has 336 divisors, whose sum is σ = 3718666119168. Its totient is φ = 246776205312.

The previous prime is 1003221311011. The next prime is 1003221311041. The reversal of 1003221311040 is 401131223001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1003221311041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59259057 + ... + 59275983.

It is an arithmetic number, because the mean of its divisors is an integer number (11067458688).

Almost surely, 2^{1003221311040} is an apocalyptic number.

1003221311040 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 1003221311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859333059584).

1003221311040 is an abundant number, since it is smaller than the sum of its proper divisors (2715444808128).

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

1003221311040 is a wasteful number, since it uses less digits than its factorization.

1003221311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18546 (or 18533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003221311040 its reverse (401131223001), we get a palindrome (1404352534041).

The spelling of 1003221311040 in words is "one trillion, three billion, two hundred twenty-one million, three hundred eleven thousand, forty".