4042412223040 has 56 divisors (see below), whose sum is σ = 9636095561400. Its totient is φ = 1615268057088.

The previous prime is 4042412222987. The next prime is 4042412223067. The reversal of 4042412223040 is 403222142404.

It can be written as a sum of positive squares in 4 ways, for example, as 63536260096 + 3978875962944 = 252064^2 + 1994712^2 .

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, 6322815 + ... + 6932734.

It is an arithmetic number, because the mean of its divisors is an integer number (172073135025).

Almost surely, 2^{4042412223040} is an apocalyptic number.

4042412223040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042412223040 is an abundant number, since it is smaller than the sum of its proper divisors (5593683338360).

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

4042412223040 is a wasteful number, since it uses less digits than its factorization.

4042412223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13256519 (or 13256509 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4042412223040 its reverse (403222142404), we get a palindrome (4445634365444).

The spelling of 4042412223040 in words is "four trillion, forty-two billion, four hundred twelve million, two hundred twenty-three thousand, forty".