42344644644324 has 384 divisors, whose sum is σ = 130808139571200. Its totient is φ = 11705848565760.

The previous prime is 42344644644307. The next prime is 42344644644329.

It is a happy number.

42344644644324 is a `hidden beast` number, since 4 + 23 + 44 + 64 + 464 + 43 + 24 = 666.

42344644644324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (42344644644329) 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 127 ways as a sum of consecutive naturals, for example, 80749557 + ... + 81272259.

It is an arithmetic number, because the mean of its divisors is an integer number (340646196800).

Almost surely, 2^{42344644644324} is an apocalyptic number.

42344644644324 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 42344644644324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65404069785600).

42344644644324 is an abundant number, since it is smaller than the sum of its proper divisors (88463494926876).

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

42344644644324 is a wasteful number, since it uses less digits than its factorization.

42344644644324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522880 (or 522872 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 54.

It can be divided in two parts, 4234464 and 4644324, that added together give a palindrome (8878788).

The spelling of 42344644644324 in words is "forty-two trillion, three hundred forty-four billion, six hundred forty-four million, six hundred forty-four thousand, three hundred twenty-four".