426244606442624 has 64 divisors (see below), whose sum is σ = 852701087725080. Its totient is φ = 212233391308800.

The previous prime is 426244606442621. The next prime is 426244606442651.

426244606442624 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 417800467868224 + 8444138574400 = 20440168^2 + 2905880^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 426244606442624.

It is not an unprimeable number, because it can be changed into a prime (426244606442621) 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 7 ways as a sum of consecutive naturals, for example, 1765649672 + ... + 1765891064.

Almost surely, 2^{426244606442624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426244606442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426350543862540).

426244606442624 is an abundant number, since it is smaller than the sum of its proper divisors (426456481282456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426244606442624 is a wasteful number, since it uses less digits than its factorization.

426244606442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298889 (or 298877 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 56.

The spelling of 426244606442624 in words is "four hundred twenty-six trillion, two hundred forty-four billion, six hundred six million, four hundred forty-two thousand, six hundred twenty-four".