34410410417 has 2 divisors, whose sum is σ = 34410410418. Its totient is φ = 34410410416.

The previous prime is 34410410383. The next prime is 34410410453. The reversal of 34410410417 is 71401401443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19221326881 + 15189083536 = 138641^2 + 123244^2 .

It is a cyclic number.

It is not a de Polignac number, because 34410410417 - 2¹² = 34410406321 is a prime.

It is a super-2 number, since 2×34410410417² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34410410417.

It is not a weakly prime, because it can be changed into another prime (34410410467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17205205208 + 17205205209.

It is an arithmetic number, because the mean of its divisors is an integer number (17205205209).

Almost surely, 2^34410410417 is an apocalyptic number.

It is an amenable number.

34410410417 is a deficient number, since it is larger than the sum of its proper divisors (1).

34410410417 is an equidigital number, since it uses as much as digits as its factorization.

34410410417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 34410410417 in words is "thirty-four billion, four hundred ten million, four hundred ten thousand, four hundred seventeen".