42643866834624 has 224 divisors, whose sum is σ = 125778124652544. Its totient is φ = 12642738693120.

The previous prime is 42643866834581. The next prime is 42643866834631.

It is a happy number.

42643866834624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16874577 + ... + 19236399.

It is an arithmetic number, because the mean of its divisors is an integer number (561509485056).

Almost surely, 2^{42643866834624} is an apocalyptic number.

42643866834624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42643866834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62889062326272).

42643866834624 is an abundant number, since it is smaller than the sum of its proper divisors (83134257817920).

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

42643866834624 is a wasteful number, since it uses less digits than its factorization.

42643866834624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362035 (or 2362025 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 66.

The spelling of 42643866834624 in words is "forty-two trillion, six hundred forty-three billion, eight hundred sixty-six million, eight hundred thirty-four thousand, six hundred twenty-four".