42485788758424 has 192 divisors, whose sum is σ = 92451989952000. Its totient is φ = 18253210483200.

The previous prime is 42485788758349. The next prime is 42485788758433.

42485788758424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3723225279 + ... + 3723236689.

It is an arithmetic number, because the mean of its divisors is an integer number (481520781000).

Almost surely, 2^{42485788758424} is an apocalyptic number.

42485788758424 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 42485788758424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46225994976000).

42485788758424 is an abundant number, since it is smaller than the sum of its proper divisors (49966201193576).

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

42485788758424 is a wasteful number, since it uses less digits than its factorization.

42485788758424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13430 (or 13415 counting only the distinct ones).

The product of its digits is 5138022400, while the sum is 76.

The spelling of 42485788758424 in words is "forty-two trillion, four hundred eighty-five billion, seven hundred eighty-eight million, seven hundred fifty-eight thousand, four hundred twenty-four".