1003040431120 has 360 divisors, whose sum is σ = 2942494558920. Its totient is φ = 316911329280.

The previous prime is 1003040431069. The next prime is 1003040431147. The reversal of 1003040431120 is 211340403001.

It can be written as a sum of positive squares in 12 ways, for example, as 210427708176 + 792612722944 = 458724^2 + 890288^2 .

It is a super-2 number, since 2×1003040431120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 623392876 + ... + 623394484.

It is an arithmetic number, because the mean of its divisors is an integer number (8173595997).

Almost surely, 2^{1003040431120} is an apocalyptic number.

1003040431120 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 1003040431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471247279460).

1003040431120 is an abundant number, since it is smaller than the sum of its proper divisors (1939454127800).

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

1003040431120 is a wasteful number, since it uses less digits than its factorization.

1003040431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1003040431120 its reverse (211340403001), we get a palindrome (1214380834121).

The spelling of 1003040431120 in words is "one trillion, three billion, forty million, four hundred thirty-one thousand, one hundred twenty".