829440144050 has 96 divisors (see below), whose sum is σ = 1788892003584. Its totient is φ = 280232064000.

The previous prime is 829440144041. The next prime is 829440144101. The reversal of 829440144050 is 50441044928.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 829440143989 and 829440144007.

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 47 ways as a sum of consecutive naturals, for example, 56675534 + ... + 56690166.

It is an arithmetic number, because the mean of its divisors is an integer number (18634291704).

Almost surely, 2^829440144050 is an apocalyptic number.

829440144050 is an abundant number, since it is smaller than the sum of its proper divisors (959451859534).

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

829440144050 is a wasteful number, since it uses less digits than its factorization.

829440144050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17004 (or 16999 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

Adding to 829440144050 its reverse (50441044928), we get a palindrome (879881188978).

The spelling of 829440144050 in words is "eight hundred twenty-nine billion, four hundred forty million, one hundred forty-four thousand, fifty".