4095840000 has 720 divisors, whose sum is σ = 16551101952. Its totient is φ = 878592000.

The previous prime is 4095839959. The next prime is 4095840029. The reversal of 4095840000 is 485904.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4095840000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77279974 + ... + 77280026.

Almost surely, 2^4095840000 is an apocalyptic number.

4095840000 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 4095840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275550976).

4095840000 is an abundant number, since it is smaller than the sum of its proper divisors (12455261952).

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

4095840000 is an equidigital number, since it uses as much as digits as its factorization.

4095840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4095840000 is about 63998.7499877927. The cubic root of 4095840000 is about 1599.9791663954.

The spelling of 4095840000 in words is "four billion, ninety-five million, eight hundred forty thousand".