4095987840 has 768 divisors, whose sum is σ = 17414092800. Its totient is φ = 867041280.

The previous prime is 4095987839. The next prime is 4095987853. The reversal of 4095987840 is 487895904.

4095987840 is a `hidden beast` number, since 4 + 0 + 9 + 598 + 7 + 8 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36247624 + ... + 36247736.

It is an arithmetic number, because the mean of its divisors is an integer number (22674600).

Almost surely, 2^4095987840 is an apocalyptic number.

4095987840 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 4095987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707046400).

4095987840 is an abundant number, since it is smaller than the sum of its proper divisors (13318104960).

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

4095987840 is a wasteful number, since it uses less digits than its factorization.

4095987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4095987840 is about 63999.9049999295. The cubic root of 4095987840 is about 1599.9984166651.

The spelling of 4095987840 in words is "four billion, ninety-five million, nine hundred eighty-seven thousand, eight hundred forty".