4107995040 has 192 divisors, whose sum is σ = 13569244416. Its totient is φ = 1042685952.

The previous prime is 4107995011. The next prime is 4107995093. The reversal of 4107995040 is 405997014.

4107995040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4107995040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2571522 + ... + 2573118.

It is an arithmetic number, because the mean of its divisors is an integer number (70673148).

Almost surely, 2^4107995040 is an apocalyptic number.

4107995040 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 4107995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784622208).

4107995040 is an abundant number, since it is smaller than the sum of its proper divisors (9461249376).

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

4107995040 is a wasteful number, since it uses less digits than its factorization.

4107995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 4107995040 is about 64093.6427424749. The cubic root of 4107995040 is about 1601.5603320245.

The spelling of 4107995040 in words is "four billion, one hundred seven million, nine hundred ninety-five thousand, forty".