4064004000 has 288 divisors, whose sum is σ = 16484622336. Its totient is φ = 928857600.

The previous prime is 4064003989. The next prime is 4064004011. The reversal of 4064004000 is 4004604.

It is an interprime number because it is at equal distance from previous prime (4064003989) and next prime (4064004011).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4064004000² = 33032257024032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 243937 + ... + 260063.

It is an arithmetic number, because the mean of its divisors is an integer number (57238272).

Almost surely, 2^4064004000 is an apocalyptic number.

4064004000 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 4064004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242311168).

4064004000 is an abundant number, since it is smaller than the sum of its proper divisors (12420618336).

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

4064004000 is a wasteful number, since it uses less digits than its factorization.

4064004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4064004000 is about 63749.5411748194. The cubic root of 4064004000 is about 1595.8229588608.

Adding to 4064004000 its reverse (4004604), we get a palindrome (4068008604).

The spelling of 4064004000 in words is "four billion, sixty-four million, four thousand", and thus it is an eban number.