1010003034040 has 512 divisors, whose sum is σ = 3105602519040. Its totient is φ = 285456384000.

The previous prime is 1010003033987. The next prime is 1010003034101. The reversal of 1010003034040 is 404303000101.

It is a super-2 number, since 2×1010003034040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 554032569 + ... + 554034391.

It is an arithmetic number, because the mean of its divisors is an integer number (6065629920).

Almost surely, 2^{1010003034040} is an apocalyptic number.

1010003034040 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 1010003034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552801259520).

1010003034040 is an abundant number, since it is smaller than the sum of its proper divisors (2095599485000).

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

1010003034040 is a wasteful number, since it uses less digits than its factorization.

1010003034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1010003034040 its reverse (404303000101), we get a palindrome (1414306034141).

The spelling of 1010003034040 in words is "one trillion, ten billion, three million, thirty-four thousand, forty".