420434111134129 has 2 divisors, whose sum is σ = 420434111134130. Its totient is φ = 420434111134128.

The previous prime is 420434111134013. The next prime is 420434111134171. The reversal of 420434111134129 is 921431111434024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402924405642529 + 17509705491600 = 20072977^2 + 4184460^2 .

It is a cyclic number.

It is not a de Polignac number, because 420434111134129 - 2²⁹ = 420433574263217 is a prime.

It is a super-3 number, since 3×420434111134129³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420434111134091 and 420434111134100.

It is not a weakly prime, because it can be changed into another prime (420434111134729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210217055567064 + 210217055567065.

It is an arithmetic number, because the mean of its divisors is an integer number (210217055567065).

Almost surely, 2^{420434111134129} is an apocalyptic number.

It is an amenable number.

420434111134129 is a deficient number, since it is larger than the sum of its proper divisors (1).

420434111134129 is an equidigital number, since it uses as much as digits as its factorization.

420434111134129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 420434111134129 in words is "four hundred twenty trillion, four hundred thirty-four billion, one hundred eleven million, one hundred thirty-four thousand, one hundred twenty-nine".