4095487872 has 512 divisors, whose sum is σ = 14706278400. Its totient is φ = 1097349120.

The previous prime is 4095487861. The next prime is 4095487873. The reversal of 4095487872 is 2787845904.

It is a happy number.

4095487872 is a `hidden beast` number, since 4 + 0 + 95 + 487 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4095487873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32247873 + ... + 32247999.

It is an arithmetic number, because the mean of its divisors is an integer number (28723200).

Almost surely, 2^4095487872 is an apocalyptic number.

4095487872 is a gapful number since it is divisible by the number (42) 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 4095487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353139200).

4095487872 is an abundant number, since it is smaller than the sum of its proper divisors (10610790528).

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

4095487872 is a wasteful number, since it uses less digits than its factorization.

4095487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4095487872 is about 63995.9988749297. The cubic root of 4095487872 is about 1599.9333138873.

The spelling of 4095487872 in words is "four billion, ninety-five million, four hundred eighty-seven thousand, eight hundred seventy-two".