42214430002240 has 56 divisors (see below), whose sum is σ = 101078487887832. Its totient is φ = 16792480419840.

The previous prime is 42214430002207. The next prime is 42214430002249. The reversal of 42214430002240 is 4220003441224.

It can be written as a sum of positive squares in 4 ways, for example, as 3329427907584 + 38885002094656 = 1824672^2 + 6235784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42214430002199 and 42214430002208.

It is not an unprimeable number, because it can be changed into a prime (42214430002249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364362229 + ... + 364478068.

It is an arithmetic number, because the mean of its divisors is an integer number (1804972997997).

Almost surely, 2^{42214430002240} is an apocalyptic number.

42214430002240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42214430002240 is an abundant number, since it is smaller than the sum of its proper divisors (58864057885592).

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

42214430002240 is a wasteful number, since it uses less digits than its factorization.

42214430002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728840495 (or 728840485 counting only the distinct ones).

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

Adding to 42214430002240 its reverse (4220003441224), we get a palindrome (46434433443464).

The spelling of 42214430002240 in words is "forty-two trillion, two hundred fourteen billion, four hundred thirty million, two thousand, two hundred forty".