824240042428 has 24 divisors (see below), whose sum is σ = 1574569100160. Its totient is φ = 374411724720.

The previous prime is 824240042407. The next prime is 824240042447.

It is a happy number.

824240042428 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×824240042428² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6002338 + ... + 6138121.

It is an arithmetic number, because the mean of its divisors is an integer number (65607045840).

Almost surely, 2^824240042428 is an apocalyptic number.

It is an amenable number.

824240042428 is a deficient number, since it is larger than the sum of its proper divisors (750329057732).

824240042428 is a wasteful number, since it uses less digits than its factorization.

824240042428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12142017 (or 12142015 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

It can be divided in two parts, 8242400 and 42428, that added together give a palindrome (8284828).

The spelling of 824240042428 in words is "eight hundred twenty-four billion, two hundred forty million, forty-two thousand, four hundred twenty-eight".