1005334040142 has 48 divisors (see below), whose sum is σ = 2192689512000. Its totient is φ = 332892709632.

The previous prime is 1005334040093. The next prime is 1005334040147. The reversal of 1005334040142 is 2410404335001.

It is a happy number.

1005334040142 is a `hidden beast` number, since 10 + 0 + 533 + 40 + 40 + 1 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005334040147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473834 + ... + 2045202.

It is an arithmetic number, because the mean of its divisors is an integer number (45681031500).

Almost surely, 2^{1005334040142} is an apocalyptic number.

1005334040142 is an abundant number, since it is smaller than the sum of its proper divisors (1187355471858).

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

1005334040142 is a wasteful number, since it uses less digits than its factorization.

1005334040142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572025 (or 572022 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1005334040142 its reverse (2410404335001), we get a palindrome (3415738375143).

The spelling of 1005334040142 in words is "one trillion, five billion, three hundred thirty-four million, forty thousand, one hundred forty-two".