42436566563424 has 576 divisors, whose sum is σ = 126453720830976. Its totient is φ = 12444005376000.

The previous prime is 42436566563407. The next prime is 42436566563431.

42436566563424 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 95 ways as a sum of consecutive naturals, for example, 35751108559 + ... + 35751109745.

It is an arithmetic number, because the mean of its divisors is an integer number (219537709776).

Almost surely, 2^{42436566563424} is an apocalyptic number.

42436566563424 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 42436566563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63226860415488).

42436566563424 is an abundant number, since it is smaller than the sum of its proper divisors (84017154267552).

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

42436566563424 is a wasteful number, since it uses less digits than its factorization.

42436566563424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1792 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 60.

The spelling of 42436566563424 in words is "forty-two trillion, four hundred thirty-six billion, five hundred sixty-six million, five hundred sixty-three thousand, four hundred twenty-four".