402406624129 has 2 divisors, whose sum is σ = 402406624130. Its totient is φ = 402406624128.

The previous prime is 402406624073. The next prime is 402406624153. The reversal of 402406624129 is 921426604204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225009819904 + 177396804225 = 474352^2 + 421185^2 .

It is a cyclic number.

It is not a de Polignac number, because 402406624129 - 2¹⁵ = 402406591361 is a prime.

It is a super-3 number, since 3×402406624129³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 402406624091 and 402406624100.

It is not a weakly prime, because it can be changed into another prime (402406624229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201203312064 + 201203312065.

It is an arithmetic number, because the mean of its divisors is an integer number (201203312065).

Almost surely, 2^402406624129 is an apocalyptic number.

It is an amenable number.

402406624129 is a deficient number, since it is larger than the sum of its proper divisors (1).

402406624129 is an equidigital number, since it uses as much as digits as its factorization.

402406624129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 402406624129 in words is "four hundred two billion, four hundred six million, six hundred twenty-four thousand, one hundred twenty-nine".