409991800041 has 60 divisors (see below), whose sum is σ = 630093121812. Its totient is φ = 265677343200.

The previous prime is 409991800037. The next prime is 409991800069. The reversal of 409991800041 is 140008199904.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 78671835225 + 331319964816 = 280485^2 + 575604^2 .

It is not a de Polignac number, because 409991800041 - 2² = 409991800037 is a prime.

It is a super-2 number, since 2×409991800041² (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 409991800041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409991800021) 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 59 ways as a sum of consecutive naturals, for example, 1512884736 + ... + 1512885006.

Almost surely, 2^409991800041 is an apocalyptic number.

409991800041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

409991800041 is a deficient number, since it is larger than the sum of its proper divisors (220101321771).

409991800041 is an frugal number, since it uses more digits than its factorization.

409991800041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

Adding to 409991800041 its reverse (140008199904), we get a palindrome (549999999945).

The spelling of 409991800041 in words is "four hundred nine billion, nine hundred ninety-one million, eight hundred thousand, forty-one".