1005432021341 has 64 divisors (see below), whose sum is σ = 1163399086080. Its totient is φ = 860505984000.

The previous prime is 1005432021323. The next prime is 1005432021361. The reversal of 1005432021341 is 1431202345001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005432021341 - 2⁶ = 1005432021277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005432021341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005432021301) 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 63 ways as a sum of consecutive naturals, for example, 1563657566 + ... + 1563658208.

It is an arithmetic number, because the mean of its divisors is an integer number (18178110720).

Almost surely, 2^{1005432021341} is an apocalyptic number.

1005432021341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005432021341 is a deficient number, since it is larger than the sum of its proper divisors (157967064739).

1005432021341 is a wasteful number, since it uses less digits than its factorization.

1005432021341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1005432021341 its reverse (1431202345001), we get a palindrome (2436634366342).

The spelling of 1005432021341 in words is "one trillion, five billion, four hundred thirty-two million, twenty-one thousand, three hundred forty-one".