4064414112 has 336 divisors, whose sum is σ = 13406020992. Its totient is φ = 1201858560.

The previous prime is 4064414027. The next prime is 4064414117. The reversal of 4064414112 is 2114144604.

4064414112 is a `hidden beast` number, since 4 + 0 + 644 + 1 + 4 + 1 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4064414117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12060408 + ... + 12060744.

It is an arithmetic number, because the mean of its divisors is an integer number (39898872).

Almost surely, 2^4064414112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4064414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703010496).

4064414112 is an abundant number, since it is smaller than the sum of its proper divisors (9341606880).

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

4064414112 is a wasteful number, since it uses less digits than its factorization.

4064414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4064414112 is about 63752.7576815309. The cubic root of 4064414112 is about 1595.8766369684.

Adding to 4064414112 its reverse (2114144604), we get a palindrome (6178558716).

It can be divided in two parts, 40644 and 14112, that added together give a square (54756 = 234²).

The spelling of 4064414112 in words is "four billion, sixty-four million, four hundred fourteen thousand, one hundred twelve".