4095291840 has 336 divisors, whose sum is σ = 14316760800. Its totient is φ = 990445568.

The previous prime is 4095291833. The next prime is 4095291883. The reversal of 4095291840 is 481925904.

It is a junction number, because it is equal to n+sod(n) for n = 4095291792 and 4095291801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8045506 + ... + 8046014.

Almost surely, 2^4095291840 is an apocalyptic number.

4095291840 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 4095291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158380400).

4095291840 is an abundant number, since it is smaller than the sum of its proper divisors (10221468960).

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

4095291840 is a wasteful number, since it uses less digits than its factorization.

4095291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4095291840 is about 63994.4672608500. The cubic root of 4095291840 is about 1599.9077863522.

The spelling of 4095291840 in words is "four billion, ninety-five million, two hundred ninety-one thousand, eight hundred forty".