42436200263424 has 72 divisors (see below), whose sum is σ = 123209649652992. Its totient is φ = 12859454622720.

The previous prime is 42436200263411. The next prime is 42436200263459.

42436200263424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2511603784 + ... + 2511620679.

Almost surely, 2^{42436200263424} is an apocalyptic number.

42436200263424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42436200263424 is an abundant number, since it is smaller than the sum of its proper divisors (80773449389568).

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

42436200263424 is a wasteful number, since it uses less digits than its factorization.

42436200263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023224493 (or 5023224479 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 42436200 and 263424, that added together give a palindrome (42699624).

The spelling of 42436200263424 in words is "forty-two trillion, four hundred thirty-six billion, two hundred million, two hundred sixty-three thousand, four hundred twenty-four".