4071460864 has 39 divisors (see below), whose sum is σ = 8150102337. Its totient is φ = 2033688576.

The previous prime is 4071460823. The next prime is 4071460931. The reversal of 4071460864 is 4680641704.

The square root of 4071460864 is 63808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3504640000 + 566820864 = 59200^2 + 23808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4083214 + ... + 4084210.

It is an arithmetic number, because the mean of its divisors is an integer number (208976983).

Almost surely, 2^4071460864 is an apocalyptic number.

4071460864 is the 63808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4071460864

4071460864 is an abundant number, since it is smaller than the sum of its proper divisors (4078641473).

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

4071460864 is an frugal number, since it uses more digits than its factorization.

4071460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The cubic root of 4071460864 is about 1596.7983978629.

It can be divided in two parts, 4071460 and 864, that added together give a square (4072324 = 2018²).

The spelling of 4071460864 in words is "four billion, seventy-one million, four hundred sixty thousand, eight hundred sixty-four".