4095792000 has 512 divisors, whose sum is σ = 15912000000. Its totient is φ = 1032652800.

The previous prime is 4095791969. The next prime is 4095792023. The reversal of 4095792000 is 2975904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207751 + ... + 8208249.

It is an arithmetic number, because the mean of its divisors is an integer number (31078125).

Almost surely, 2^4095792000 is an apocalyptic number.

4095792000 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 4095792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956000000).

4095792000 is an abundant number, since it is smaller than the sum of its proper divisors (11816208000).

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

4095792000 is a wasteful number, since it uses less digits than its factorization.

4095792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4095792000 is about 63998.3749793696. The cubic root of 4095792000 is about 1599.9729162082.

The spelling of 4095792000 in words is "four billion, ninety-five million, seven hundred ninety-two thousand".