4014064512 has 384 divisors, whose sum is σ = 12974008320. Its totient is φ = 1231718400.

The previous prime is 4014064501. The next prime is 4014064519. The reversal of 4014064512 is 2154604104.

4014064512 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 0 + 645 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4014064512² = 32225427812995596288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014064519) 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, 22177062 + ... + 22177242.

It is an arithmetic number, because the mean of its divisors is an integer number (33786480).

Almost surely, 2^4014064512 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 4014064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487004160).

4014064512 is an abundant number, since it is smaller than the sum of its proper divisors (8959943808).

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

4014064512 is a wasteful number, since it uses less digits than its factorization.

4014064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4014064512 is about 63356.6453657389. The cubic root of 4014064512 is about 1589.2593773924.

Adding to 4014064512 its reverse (2154604104), we get a palindrome (6168668616).

The spelling of 4014064512 in words is "four billion, fourteen million, sixty-four thousand, five hundred twelve".