4284112425012 has 336 divisors, whose sum is σ = 13610680957440. Its totient is φ = 1151306597376.

The previous prime is 4284112425001. The next prime is 4284112425013. The reversal of 4284112425012 is 2105242114824.

4284112425012 is a `hidden beast` number, since 4 + 28 + 4 + 1 + 124 + 2 + 501 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284112425013) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 776245189 + ... + 776250707.

It is an arithmetic number, because the mean of its divisors is an integer number (40507979040).

Almost surely, 2^{4284112425012} is an apocalyptic number.

4284112425012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284112425012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805340478720).

4284112425012 is an abundant number, since it is smaller than the sum of its proper divisors (9326568532428).

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

4284112425012 is a wasteful number, since it uses less digits than its factorization.

4284112425012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7802 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 4284112425012 its reverse (2105242114824), we get a palindrome (6389354539836).

The spelling of 4284112425012 in words is "four trillion, two hundred eighty-four billion, one hundred twelve million, four hundred twenty-five thousand, twelve".