1005143422401 has 8 divisors (see below), whose sum is σ = 1489101366560. Its totient is φ = 670095614916.

The previous prime is 1005143422357. The next prime is 1005143422469. The reversal of 1005143422401 is 1042243415001.

1005143422401 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 434 + 224 + 0 + 1 = 666.

It is not a de Polignac number, because 1005143422401 - 2²⁷ = 1005009204673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 37227534163 = 1005143422401 / (1 + 0 + 0 + 5 + 1 + 4 + 3 + 4 + 2 + 2 + 4 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005143422001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18613767055 + ... + 18613767108.

It is an arithmetic number, because the mean of its divisors is an integer number (186137670820).

Almost surely, 2^{1005143422401} is an apocalyptic number.

It is an amenable number.

1005143422401 is a deficient number, since it is larger than the sum of its proper divisors (483957944159).

1005143422401 is an equidigital number, since it uses as much as digits as its factorization.

1005143422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37227534172 (or 37227534166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1005143422401 its reverse (1042243415001), we get a palindrome (2047386837402).

The spelling of 1005143422401 in words is "one trillion, five billion, one hundred forty-three million, four hundred twenty-two thousand, four hundred one".