4112221431330 has 96 divisors (see below), whose sum is σ = 10897019578224. Its totient is φ = 1075555074048.

The previous prime is 4112221431313. The next prime is 4112221431337. The reversal of 4112221431330 is 331341222114.

4112221431330 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 221 + 431 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2690429904009 + 1421791527321 = 1640253^2 + 1192389^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4112221431294 and 4112221431303.

It is not an unprimeable number, because it can be changed into a prime (4112221431337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14826082 + ... + 15100898.

Almost surely, 2^{4112221431330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112221431330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448509789112).

4112221431330 is an abundant number, since it is smaller than the sum of its proper divisors (6784798146894).

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

4112221431330 is a wasteful number, since it uses less digits than its factorization.

4112221431330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278020 (or 278017 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4112221431330 its reverse (331341222114), we get a palindrome (4443562653444).

The spelling of 4112221431330 in words is "four trillion, one hundred twelve billion, two hundred twenty-one million, four hundred thirty-one thousand, three hundred thirty".