42344522544324 has 576 divisors, whose sum is σ = 139500423901440. Its totient is φ = 9878017443840.

The previous prime is 42344522544299. The next prime is 42344522544329.

42344522544324 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42344522544329) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 525736984 + ... + 525817520.

It is an arithmetic number, because the mean of its divisors is an integer number (242188235940).

Almost surely, 2^{42344522544324} is an apocalyptic number.

42344522544324 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 42344522544324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69750211950720).

42344522544324 is an abundant number, since it is smaller than the sum of its proper divisors (97155901357116).

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

42344522544324 is a wasteful number, since it uses less digits than its factorization.

42344522544324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80645 (or 80610 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 4234452 and 2544324, that added together give a palindrome (6778776).

The spelling of 42344522544324 in words is "forty-two trillion, three hundred forty-four billion, five hundred twenty-two million, five hundred forty-four thousand, three hundred twenty-four".