1005141413330 has 48 divisors (see below), whose sum is σ = 1945098066240. Its totient is φ = 373846979328.

The previous prime is 1005141413321. The next prime is 1005141413333. The reversal of 1005141413330 is 333141415001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005141413330.

It is not an unprimeable number, because it can be changed into a prime (1005141413333) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1855310 + ... + 2335049.

It is an arithmetic number, because the mean of its divisors is an integer number (40522876380).

Almost surely, 2^{1005141413330} is an apocalyptic number.

1005141413330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005141413330 is a deficient number, since it is larger than the sum of its proper divisors (939956652910).

1005141413330 is a wasteful number, since it uses less digits than its factorization.

1005141413330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190483 (or 4190466 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 1005141413330 its reverse (333141415001), we get a palindrome (1338282828331).

The spelling of 1005141413330 in words is "one trillion, five billion, one hundred forty-one million, four hundred thirteen thousand, three hundred thirty".