1005300011040 has 192 divisors, whose sum is σ = 3411539534592. Its totient is φ = 247367577600.

The previous prime is 1005300011011. The next prime is 1005300011047. The reversal of 1005300011040 is 401100035001.

It is a super-2 number, since 2×1005300011040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1005300011047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17824485 + ... + 17880795.

It is an arithmetic number, because the mean of its divisors is an integer number (17768435076).

Almost surely, 2^{1005300011040} is an apocalyptic number.

1005300011040 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 1005300011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705769767296).

1005300011040 is an abundant number, since it is smaller than the sum of its proper divisors (2406239523552).

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

1005300011040 is a wasteful number, since it uses less digits than its factorization.

1005300011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59203 (or 59195 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 1005300011040 its reverse (401100035001), we get a palindrome (1406400046041).

The spelling of 1005300011040 in words is "one trillion, five billion, three hundred million, eleven thousand, forty".