4064604400 has 120 divisors (see below), whose sum is σ = 10003087440. Its totient is φ = 1586657280.

The previous prime is 4064604353. The next prime is 4064604403. The reversal of 4064604400 is 44064604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064604403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3704652 + ... + 3705748.

It is an arithmetic number, because the mean of its divisors is an integer number (83359062).

Almost surely, 2^4064604400 is an apocalyptic number.

4064604400 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 4064604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001543720).

4064604400 is an abundant number, since it is smaller than the sum of its proper divisors (5938483040).

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

4064604400 is a wasteful number, since it uses less digits than its factorization.

4064604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4064604400 is about 63754.2500544081. The cubic root of 4064604400 is about 1595.9015418645.

The spelling of 4064604400 in words is "four billion, sixty-four million, six hundred four thousand, four hundred".