4014064116 has 72 divisors (see below), whose sum is σ = 10614731400. Its totient is φ = 1277337600.

The previous prime is 4014064111. The next prime is 4014064139. The reversal of 4014064116 is 6114604104.

4014064116 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 0 + 641 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 443523600 + 3570540516 = 21060^2 + 59754^2 .

It is a super-2 number, since 2×4014064116² = 32225421454717722912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014064116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014064111) 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 23 ways as a sum of consecutive naturals, for example, 71316 + ... + 114516.

It is an arithmetic number, because the mean of its divisors is an integer number (147426825).

Almost surely, 2^4014064116 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 4014064116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307365700).

4014064116 is an abundant number, since it is smaller than the sum of its proper divisors (6600667284).

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

4014064116 is a wasteful number, since it uses less digits than its factorization.

4014064116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43329 (or 43324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4014064116 is about 63356.6422405733. The cubic root of 4014064116 is about 1589.2593251306.

The spelling of 4014064116 in words is "four billion, fourteen million, sixty-four thousand, one hundred sixteen".