42644688644624 has 30 divisors (see below), whose sum is σ = 90818208310830. Its totient is φ = 19383949383040.

The previous prime is 42644688644557. The next prime is 42644688644629.

It is a happy number.

42644688644624 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 27448881332224 + 15195807312400 = 5239168^2 + 3898180^2 .

It is not an unprimeable number, because it can be changed into a prime (42644688644629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11013605669 + ... + 11013609540.

It is an arithmetic number, because the mean of its divisors is an integer number (3027273610361).

Almost surely, 2^{42644688644624} is an apocalyptic number.

42644688644624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42644688644624 is an abundant number, since it is smaller than the sum of its proper divisors (48173519666206).

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

42644688644624 is a wasteful number, since it uses less digits than its factorization.

42644688644624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22027215239 (or 22027215222 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 68.

The spelling of 42644688644624 in words is "forty-two trillion, six hundred forty-four billion, six hundred eighty-eight million, six hundred forty-four thousand, six hundred twenty-four".