4071291648 has 144 divisors (see below), whose sum is σ = 11537971200. Its totient is φ = 1270038528.

The previous prime is 4071291611. The next prime is 4071291667. The reversal of 4071291648 is 8461921704.

4071291648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2597361 + ... + 2598927.

It is an arithmetic number, because the mean of its divisors is an integer number (80124800).

Almost surely, 2^4071291648 is an apocalyptic number.

4071291648 is a gapful number since it is divisible by the number (48) 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 4071291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768985600).

4071291648 is an abundant number, since it is smaller than the sum of its proper divisors (7466679552).

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

4071291648 is a wasteful number, since it uses less digits than its factorization.

4071291648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4071291648 is about 63806.6740082885. The cubic root of 4071291648 is about 1596.7762757803.

The spelling of 4071291648 in words is "four billion, seventy-one million, two hundred ninety-one thousand, six hundred forty-eight".