4257712641 has 64 divisors (see below), whose sum is σ = 7371284480. Its totient is φ = 2122848000.

The previous prime is 4257712637. The next prime is 4257712651. The reversal of 4257712641 is 1462177524.

4257712641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4257712641 - 2² = 4257712637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4257712641.

It is not an unprimeable number, because it can be changed into a prime (4257712621) 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, 3894891 + ... + 3895983.

It is an arithmetic number, because the mean of its divisors is an integer number (115176320).

Almost surely, 2^4257712641 is an apocalyptic number.

It is an amenable number.

4257712641 is a deficient number, since it is larger than the sum of its proper divisors (3113571839).

4257712641 is a wasteful number, since it uses less digits than its factorization.

4257712641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886.

The product of its digits is 94080, while the sum is 39.

The square root of 4257712641 is about 65251.1504956043. The cubic root of 4257712641 is about 1620.7851501951.

The spelling of 4257712641 in words is "four billion, two hundred fifty-seven million, seven hundred twelve thousand, six hundred forty-one".