42647642401 has 12 divisors (see below), whose sum is σ = 53426717652. Its totient is φ = 33743189088.

The previous prime is 42647642393. The next prime is 42647642417. The reversal of 42647642401 is 10424674624.

It can be written as a sum of positive squares in 2 ways, for example, as 18454950801 + 24192691600 = 135849^2 + 155540^2 .

It is not a de Polignac number, because 42647642401 - 2³ = 42647642393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42647646401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33474750 + ... + 33476023.

It is an arithmetic number, because the mean of its divisors is an integer number (4452226471).

Almost surely, 2^42647642401 is an apocalyptic number.

It is an amenable number.

42647642401 is a deficient number, since it is larger than the sum of its proper divisors (10779075251).

42647642401 is a wasteful number, since it uses less digits than its factorization.

42647642401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66950800 (or 66950793 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 42647642401 in words is "forty-two billion, six hundred forty-seven million, six hundred forty-two thousand, four hundred one".