35409295226041 has 9 divisors (see below), whose sum is σ = 38921032816239. Its totient is φ = 32190208881600.

The previous prime is 35409295226017. The next prime is 35409295226087. The reversal of 35409295226041 is 14062259290453.

It is a happy number.

The square root of 35409295226041 is 5950571.

It is a perfect power (a square), and thus also a powerful number.

35409295226041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 313623520441 + 35095671705600 = 560021^2 + 5924160^2 .

It is not a de Polignac number, because 35409295226041 - 2¹⁵ = 35409295193273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35409295226041.

It is not an unprimeable number, because it can be changed into a prime (35409295220041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65185801 + ... + 65726761.

Almost surely, 2^{35409295226041} is an apocalyptic number.

35409295226041 is the 5950571-st square number.

35409295226041 is the 2975286-th centered octagonal number.

It is an amenable number.

35409295226041 is a deficient number, since it is larger than the sum of its proper divisors (3511737590198).

35409295226041 is an frugal number, since it uses more digits than its factorization.

35409295226041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081944 (or 540972 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 35409295226041 in words is "thirty-five trillion, four hundred nine billion, two hundred ninety-five million, two hundred twenty-six thousand, forty-one".