42226590243601 has 27 divisors (see below), whose sum is σ = 46106190041457. Its totient is φ = 38664803905920.

The previous prime is 42226590243557. The next prime is 42226590243611. The reversal of 42226590243601 is 10634209562224.

It is a happy number.

The square root of 42226590243601 is 6498199.

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

42226590243601 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 4 ways, for example, as 19642615136001 + 22583975107600 = 4431999^2 + 4752260^2 .

It is not a de Polignac number, because 42226590243601 - 2⁷ = 42226590243473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42226590243611) 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 26 ways as a sum of consecutive naturals, for example, 4087362006 + ... + 4087372336.

Almost surely, 2^{42226590243601} is an apocalyptic number.

42226590243601 is the 6498199-th square number.

42226590243601 is the 3249100-th centered octagonal number.

It is an amenable number.

42226590243601 is a deficient number, since it is larger than the sum of its proper divisors (3879599797856).

42226590243601 is an frugal number, since it uses more digits than its factorization.

42226590243601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20770 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 42226590243601 in words is "forty-two trillion, two hundred twenty-six billion, five hundred ninety million, two hundred forty-three thousand, six hundred one".