42544655644524 has 96 divisors (see below), whose sum is σ = 108916427692800. Its totient is φ = 12818607548160.

The previous prime is 42544655644501. The next prime is 42544655644531.

42544655644524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42544655644524² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14970447 + ... + 17584185.

It is an arithmetic number, because the mean of its divisors is an integer number (1134546121800).

Almost surely, 2^{42544655644524} is an apocalyptic number.

42544655644524 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 42544655644524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54458213846400).

42544655644524 is an abundant number, since it is smaller than the sum of its proper divisors (66371772048276).

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

42544655644524 is a wasteful number, since it uses less digits than its factorization.

42544655644524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614463 (or 2614461 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 60.

It can be divided in two parts, 4254465 and 5644524, that added together give a palindrome (9898989).

The spelling of 42544655644524 in words is "forty-two trillion, five hundred forty-four billion, six hundred fifty-five million, six hundred forty-four thousand, five hundred twenty-four".