410404144005 has 96 divisors (see below), whose sum is σ = 766683021312. Its totient is φ = 202495075200.

The previous prime is 410404143971. The next prime is 410404144009. The reversal of 410404144005 is 500441404014.

It is not a de Polignac number, because 410404144005 - 2¹⁸ = 410403881861 is a prime.

It is a super-2 number, since 2×410404144005² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 410404144005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410404144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89546944 + ... + 89551526.

It is an arithmetic number, because the mean of its divisors is an integer number (7986281472).

Almost surely, 2^410404144005 is an apocalyptic number.

410404144005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

410404144005 is a deficient number, since it is larger than the sum of its proper divisors (356278877307).

410404144005 is a wasteful number, since it uses less digits than its factorization.

410404144005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 410404144005 its reverse (500441404014), we get a palindrome (910845548019).

The spelling of 410404144005 in words is "four hundred ten billion, four hundred four million, one hundred forty-four thousand, five".