4042212330320 has 80 divisors (see below), whose sum is σ = 9723816095760. Its totient is φ = 1560873603072.

The previous prime is 4042212330293. The next prime is 4042212330367. The reversal of 4042212330320 is 230332122404.

It can be written as a sum of positive squares in 8 ways, for example, as 356518856464 + 3685693473856 = 597092^2 + 1919816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4042212330320.

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 15 ways as a sum of consecutive naturals, for example, 14283314 + ... + 14563566.

It is an arithmetic number, because the mean of its divisors is an integer number (121547701197).

Almost surely, 2^{4042212330320} is an apocalyptic number.

4042212330320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042212330320 is an abundant number, since it is smaller than the sum of its proper divisors (5681603765440).

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

4042212330320 is a wasteful number, since it uses less digits than its factorization.

4042212330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286512 (or 286506 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 4042212330320 its reverse (230332122404), we get a palindrome (4272544452724).

The spelling of 4042212330320 in words is "four trillion, forty-two billion, two hundred twelve million, three hundred thirty thousand, three hundred twenty".