4064138640 has 120 divisors (see below), whose sum is σ = 14242213440. Its totient is φ = 1036645632.

The previous prime is 4064138599. The next prime is 4064138669. The reversal of 4064138640 is 468314604.

4064138640 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 1 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 4064138595 and 4064138604.

It is an unprimeable number.

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, 106150 + ... + 139269.

It is an arithmetic number, because the mean of its divisors is an integer number (118685112).

Almost surely, 2^4064138640 is an apocalyptic number.

4064138640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4064138640 is an abundant number, since it is smaller than the sum of its proper divisors (10178074800).

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

4064138640 is a wasteful number, since it uses less digits than its factorization.

4064138640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245461 (or 245452 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4064138640 is about 63750.5971736736. The cubic root of 4064138640 is about 1595.8405818118.

The spelling of 4064138640 in words is "four billion, sixty-four million, one hundred thirty-eight thousand, six hundred forty".