413122142441029 has 32 divisors (see below), whose sum is σ = 510543991077120. Its totient is φ = 326322377837568.

The previous prime is 413122142441017. The next prime is 413122142441069. The reversal of 413122142441029 is 920144241221314.

It is not a de Polignac number, because 413122142441029 - 2¹³ = 413122142432837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413122142440982 and 413122142441000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413122142441069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10359069 + ... + 30554125.

It is an arithmetic number, because the mean of its divisors is an integer number (15954499721160).

Almost surely, 2^{413122142441029} is an apocalyptic number.

It is an amenable number.

413122142441029 is a deficient number, since it is larger than the sum of its proper divisors (97421848636091).

413122142441029 is a wasteful number, since it uses less digits than its factorization.

413122142441029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20199277.

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 413122142441029 in words is "four hundred thirteen trillion, one hundred twenty-two billion, one hundred forty-two million, four hundred forty-one thousand, twenty-nine".