4056804000 has 480 divisors, whose sum is σ = 15697281600. Its totient is φ = 1023321600.

The previous prime is 4056803983. The next prime is 4056804001. The reversal of 4056804000 is 4086504.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4056804001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6155671 + ... + 6156329.

It is an arithmetic number, because the mean of its divisors is an integer number (32702670).

Almost surely, 2^4056804000 is an apocalyptic number.

4056804000 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 4056804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848640800).

4056804000 is an abundant number, since it is smaller than the sum of its proper divisors (11640477600).

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

4056804000 is a wasteful number, since it uses less digits than its factorization.

4056804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4056804000 is about 63693.0451462324. The cubic root of 4056804000 is about 1594.8799875635.

The spelling of 4056804000 in words is "four billion, fifty-six million, eight hundred four thousand".