1005504400411 has 16 divisors (see below), whose sum is σ = 1181519797248. Its totient is φ = 837737121600.

The previous prime is 1005504400403. The next prime is 1005504400429. The reversal of 1005504400411 is 1140044055001.

It is a cyclic number.

It is not a de Polignac number, because 1005504400411 - 2³ = 1005504400403 is a prime.

It is a super-2 number, since 2×1005504400411² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005504400711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6386245 + ... + 6541798.

It is an arithmetic number, because the mean of its divisors is an integer number (73844987328).

Almost surely, 2^{1005504400411} is an apocalyptic number.

1005504400411 is a deficient number, since it is larger than the sum of its proper divisors (176015396837).

1005504400411 is a wasteful number, since it uses less digits than its factorization.

1005504400411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928362.

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 1005504400411 its reverse (1140044055001), we get a palindrome (2145548455412).

The spelling of 1005504400411 in words is "one trillion, five billion, five hundred four million, four hundred thousand, four hundred eleven".