42544566544524 has 384 divisors, whose sum is σ = 116371077193728. Its totient is φ = 11975040000000.

The previous prime is 42544566544523. The next prime is 42544566544577.

42544566544524 is nontrivially palindromic in base 10.

42544566544524 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42544566544524² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42544566544523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4296991974 + ... + 4297001874.

It is an arithmetic number, because the mean of its divisors is an integer number (303049680192).

Almost surely, 2^{42544566544524} is an apocalyptic number.

42544566544524 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 42544566544524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58185538596864).

42544566544524 is an abundant number, since it is smaller than the sum of its proper divisors (73826510649204).

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

42544566544524 is a wasteful number, since it uses less digits than its factorization.

42544566544524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10367 counting only the distinct ones).

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

The spelling of 42544566544524 in words is "forty-two trillion, five hundred forty-four billion, five hundred sixty-six million, five hundred forty-four thousand, five hundred twenty-four".