42410211201424 has 80 divisors (see below), whose sum is σ = 91000517826240. Its totient is φ = 18986816468480.

The previous prime is 42410211201341. The next prime is 42410211201469.

42410211201424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42410211201392 and 42410211201401.

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 15 ways as a sum of consecutive naturals, for example, 3250819 + ... + 9766690.

It is an arithmetic number, because the mean of its divisors is an integer number (1137506472828).

Almost surely, 2^{42410211201424} is an apocalyptic number.

42410211201424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42410211201424 is an abundant number, since it is smaller than the sum of its proper divisors (48590306624816).

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

42410211201424 is a wasteful number, since it uses less digits than its factorization.

42410211201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017808 (or 13017802 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 4241021 and 1201424, that added together give a palindrome (5442445).

The spelling of 42410211201424 in words is "forty-two trillion, four hundred ten billion, two hundred eleven million, two hundred one thousand, four hundred twenty-four".