4095095040 has 216 divisors, whose sum is σ = 14626929408. Its totient is φ = 1056706560.

The previous prime is 4095095021. The next prime is 4095095057. The reversal of 4095095040 is 405905904.

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

It is a junction number, because it is equal to n+sod(n) for n = 4095094986 and 4095095004.

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 23 ways as a sum of consecutive naturals, for example, 351387 + ... + 362853.

Almost surely, 2^4095095040 is an apocalyptic number.

4095095040 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 4095095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313464704).

4095095040 is an abundant number, since it is smaller than the sum of its proper divisors (10531834368).

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

4095095040 is a wasteful number, since it uses less digits than its factorization.

4095095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4095095040 is about 63992.9296094498. The cubic root of 4095095040 is about 1599.8821579877.

The spelling of 4095095040 in words is "four billion, ninety-five million, ninety-five thousand, forty".