42643833834624 has 128 divisors (see below), whose sum is σ = 124252910832960. Its totient is φ = 12850979328000.

The previous prime is 42643833834587. The next prime is 42643833834629.

42643833834624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42643833834629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27123867 + ... + 28652954.

Almost surely, 2^{42643833834624} is an apocalyptic number.

42643833834624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42643833834624 is an abundant number, since it is smaller than the sum of its proper divisors (81609076998336).

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

42643833834624 is a wasteful number, since it uses less digits than its factorization.

42643833834624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55777030 (or 55777018 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 60.

The spelling of 42643833834624 in words is "forty-two trillion, six hundred forty-three billion, eight hundred thirty-three million, eight hundred thirty-four thousand, six hundred twenty-four".