413404304301001 has 8 divisors (see below), whose sum is σ = 447664329521864. Its totient is φ = 379495663954560.

The previous prime is 413404304300921. The next prime is 413404304301007. The reversal of 413404304301001 is 100103403404314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2658690041401 + 410745614259600 = 1630549^2 + 20266860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413404304301001 - 2⁹ = 413404304300489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413404304301007) 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, 87846216156 + ... + 87846220861.

It is an arithmetic number, because the mean of its divisors is an integer number (55958041190233).

Almost surely, 2^{413404304301001} is an apocalyptic number.

It is an amenable number.

413404304301001 is a deficient number, since it is larger than the sum of its proper divisors (34260025220863).

413404304301001 is a wasteful number, since it uses less digits than its factorization.

413404304301001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175692437211.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 413404304301001 its reverse (100103403404314), we get a palindrome (513507707705315).

The spelling of 413404304301001 in words is "four hundred thirteen trillion, four hundred four billion, three hundred four million, three hundred one thousand, one".