1003000104040 has 384 divisors, whose sum is σ = 2825781292800. Its totient is φ = 316384911360.

The previous prime is 1003000104037. The next prime is 1003000104061. The reversal of 1003000104040 is 404010003001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003000104040.

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 95 ways as a sum of consecutive naturals, for example, 99905341 + ... + 99915379.

It is an arithmetic number, because the mean of its divisors is an integer number (7358805450).

Almost surely, 2^{1003000104040} is an apocalyptic number.

1003000104040 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 1003000104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412890646400).

1003000104040 is an abundant number, since it is smaller than the sum of its proper divisors (1822781188760).

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

1003000104040 is a wasteful number, since it uses less digits than its factorization.

1003000104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1003000104040 its reverse (404010003001), we get a palindrome (1407010107041).

The spelling of 1003000104040 in words is "one trillion, three billion, one hundred four thousand, forty".