4064325120 has 320 divisors, whose sum is σ = 14581923840. Its totient is φ = 1072963584.

The previous prime is 4064325119. The next prime is 4064325137. The reversal of 4064325120 is 215234604.

4064325120 is a `hidden beast` number, since 4 + 0 + 643 + 2 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8778009 + ... + 8778471.

It is an arithmetic number, because the mean of its divisors is an integer number (45568512).

Almost surely, 2^4064325120 is an apocalyptic number.

4064325120 is a gapful number since it is divisible by the number (40) 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 4064325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290961920).

4064325120 is an abundant number, since it is smaller than the sum of its proper divisors (10517598720).

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

4064325120 is a wasteful number, since it uses less digits than its factorization.

4064325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4064325120 is about 63752.0597314314. The cubic root of 4064325120 is about 1595.8649894273.

Adding to 4064325120 its reverse (215234604), we get a palindrome (4279559724).

The spelling of 4064325120 in words is "four billion, sixty-four million, three hundred twenty-five thousand, one hundred twenty".