413414424001 has 2 divisors, whose sum is σ = 413414424002. Its totient is φ = 413414424000.

The previous prime is 413414423977. The next prime is 413414424077. The reversal of 413414424001 is 100424414314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 412101086401 + 1313337600 = 641951^2 + 36240^2 .

It is a cyclic number.

It is not a de Polignac number, because 413414424001 - 2⁵ = 413414423969 is a prime.

It is a super-2 number, since 2×413414424001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413414424701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206707212000 + 206707212001.

It is an arithmetic number, because the mean of its divisors is an integer number (206707212001).

Almost surely, 2^413414424001 is an apocalyptic number.

It is an amenable number.

413414424001 is a deficient number, since it is larger than the sum of its proper divisors (1).

413414424001 is an equidigital number, since it uses as much as digits as its factorization.

413414424001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 413414424001 its reverse (100424414314), we get a palindrome (513838838315).

It can be divided in two parts, 413 and 414424001, that added together give a palindrome (414424414).

The spelling of 413414424001 in words is "four hundred thirteen billion, four hundred fourteen million, four hundred twenty-four thousand, one".