4095326880 has 432 divisors, whose sum is σ = 15312417120. Its totient is φ = 993420288.

The previous prime is 4095326869. The next prime is 4095326929. The reversal of 4095326880 is 886235904.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69412291 + ... + 69412349.

It is an arithmetic number, because the mean of its divisors is an integer number (35445410).

Almost surely, 2^4095326880 is an apocalyptic number.

4095326880 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 4095326880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656208560).

4095326880 is an abundant number, since it is smaller than the sum of its proper divisors (11217090240).

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

4095326880 is a wasteful number, since it uses less digits than its factorization.

4095326880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4095326880 is about 63994.7410339318. The cubic root of 4095326880 is about 1599.9123493651.

The spelling of 4095326880 in words is "four billion, ninety-five million, three hundred twenty-six thousand, eight hundred eighty".