4212063072 has 384 divisors, whose sum is σ = 15101614080. Its totient is φ = 1114767360.

The previous prime is 4212063047. The next prime is 4212063083. The reversal of 4212063072 is 2703602124.

4212063072 is a `hidden beast` number, since 4 + 2 + 1 + 20 + 630 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 7299648 + ... + 7300224.

It is an arithmetic number, because the mean of its divisors is an integer number (39327120).

Almost surely, 2^4212063072 is an apocalyptic number.

4212063072 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 4212063072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550807040).

4212063072 is an abundant number, since it is smaller than the sum of its proper divisors (10889551008).

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

4212063072 is a wasteful number, since it uses less digits than its factorization.

4212063072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4212063072 is about 64900.4088739046. The cubic root of 4212063072 is about 1614.9718446018.

Adding to 4212063072 its reverse (2703602124), we get a palindrome (6915665196).

The spelling of 4212063072 in words is "four billion, two hundred twelve million, sixty-three thousand, seventy-two".