4038407757241 has 135 divisors (see below), whose sum is σ = 5136208877513. Its totient is φ = 3172562558880.

The previous prime is 4038407757229. The next prime is 4038407757299. The reversal of 4038407757241 is 1427577048304.

The square root of 4038407757241 is 2009579.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2002307070841 + 2036100686400 = 1415029^2 + 1426920^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4038407757241 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4038407707241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 85923569280 + ... + 85923569326.

Almost surely, 2^{4038407757241} is an apocalyptic number.

4038407757241 is the 2009579-th square number.

4038407757241 is the 1004790-th centered octagonal number.

It is an amenable number.

4038407757241 is a deficient number, since it is larger than the sum of its proper divisors (1097801120272).

4038407757241 is an frugal number, since it uses more digits than its factorization.

4038407757241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 4038407757241 in words is "four trillion, thirty-eight billion, four hundred seven million, seven hundred fifty-seven thousand, two hundred forty-one".