413404332204031 has 32 divisors (see below), whose sum is σ = 496515391626240. Its totient is φ = 336704280143616.

The previous prime is 413404332204007. The next prime is 413404332204079. The reversal of 413404332204031 is 130402233404314.

It is not a de Polignac number, because 413404332204031 - 2¹¹ = 413404332201983 is a prime.

It is a super-2 number, since 2×413404332204031² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413404332204931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160995 + ... + 28754731.

It is an arithmetic number, because the mean of its divisors is an integer number (15516105988320).

Almost surely, 2^{413404332204031} is an apocalyptic number.

413404332204031 is a deficient number, since it is larger than the sum of its proper divisors (83111059422209).

413404332204031 is a wasteful number, since it uses less digits than its factorization.

413404332204031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28594903.

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 413404332204031 its reverse (130402233404314), we get a palindrome (543806565608345).

The spelling of 413404332204031 in words is "four hundred thirteen trillion, four hundred four billion, three hundred thirty-two million, two hundred four thousand, thirty-one".