4095748800 has 1260 divisors, whose sum is σ = 18830230056. Its totient is φ = 862617600.

The previous prime is 4095748771. The next prime is 4095748837. The reversal of 4095748800 is 88475904.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 179 ways as a sum of consecutive naturals, for example, 240926392 + ... + 240926408.

Almost surely, 2^4095748800 is an apocalyptic number.

4095748800 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 4095748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415115028).

4095748800 is an abundant number, since it is smaller than the sum of its proper divisors (14734481256).

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

4095748800 is a wasteful number, since it uses less digits than its factorization.

4095748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4095748800 is about 63998.0374699100. The cubic root of 4095748800 is about 1599.9672909980.

The spelling of 4095748800 in words is "four billion, ninety-five million, seven hundred forty-eight thousand, eight hundred".