4064364120 has 128 divisors (see below), whose sum is σ = 12793466880. Its totient is φ = 1031616000.

The previous prime is 4064364091. The next prime is 4064364127. The reversal of 4064364120 is 214634604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064364127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217965 + ... + 235875.

It is an arithmetic number, because the mean of its divisors is an integer number (99948960).

Almost surely, 2^4064364120 is an apocalyptic number.

4064364120 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 4064364120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396733440).

4064364120 is an abundant number, since it is smaller than the sum of its proper divisors (8729102760).

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

4064364120 is a wasteful number, since it uses less digits than its factorization.

4064364120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18017 (or 18013 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4064364120 is about 63752.3656031680. The cubic root of 4064364120 is about 1595.8700938857.

Adding to 4064364120 its reverse (214634604), we get a palindrome (4278998724).

The spelling of 4064364120 in words is "four billion, sixty-four million, three hundred sixty-four thousand, one hundred twenty".