1005433003144 has 16 divisors (see below), whose sum is σ = 1996080227100. Its totient is φ = 473144942592.

The previous prime is 1005433003129. The next prime is 1005433003151. The reversal of 1005433003144 is 4413003345001.

It can be written as a sum of positive squares in 2 ways, for example, as 977800590244 + 27632412900 = 988838^2 + 166230^2 .

It is a super-2 number, since 2×1005433003144² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3696444729 + ... + 3696445000.

Almost surely, 2^{1005433003144} is an apocalyptic number.

It is an amenable number.

1005433003144 is a deficient number, since it is larger than the sum of its proper divisors (990647223956).

1005433003144 is a wasteful number, since it uses less digits than its factorization.

1005433003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392889752 (or 7392889748 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 1005433003144 its reverse (4413003345001), we get a palindrome (5418436348145).

The spelling of 1005433003144 in words is "one trillion, five billion, four hundred thirty-three million, three thousand, one hundred forty-four".