4090320000 has 960 divisors, whose sum is σ = 17398180800. Its totient is φ = 912384000.

The previous prime is 4090319999. The next prime is 4090320029. The reversal of 4090320000 is 230904.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 177839989 + ... + 177840011.

It is an arithmetic number, because the mean of its divisors is an integer number (18123105).

Almost surely, 2^4090320000 is an apocalyptic number.

4090320000 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 4090320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8699090400).

4090320000 is an abundant number, since it is smaller than the sum of its proper divisors (13307860800).

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

4090320000 is a wasteful number, since it uses less digits than its factorization.

4090320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4090320000 is about 63955.6096054130. The cubic root of 4090320000 is about 1599.2600745384.

Adding to 4090320000 its reverse (230904), we get a palindrome (4090550904).

The spelling of 4090320000 in words is "four billion, ninety million, three hundred twenty thousand".