4028767538041 has 27 divisors (see below), whose sum is σ = 4286742343821. Its totient is φ = 3785764398048.

The previous prime is 4028767538027. The next prime is 4028767538087. The reversal of 4028767538041 is 1408357678204.

The square root of 4028767538041 is 2007179.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2263908427641 + 1764859110400 = 1504629^2 + 1328480^2 .

It is not a de Polignac number, because 4028767538041 - 2⁵ = 4028767538009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4028767538641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5682323395 + ... + 5682324103.

Almost surely, 2^{4028767538041} is an apocalyptic number.

4028767538041 is the 2007179-th square number.

4028767538041 is the 1003590-th centered octagonal number.

It is an amenable number.

4028767538041 is a deficient number, since it is larger than the sum of its proper divisors (257974805780).

4028767538041 is an frugal number, since it uses more digits than its factorization.

4028767538041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 4028767538041 in words is "four trillion, twenty-eight billion, seven hundred sixty-seven million, five hundred thirty-eight thousand, forty-one".