4241626749441 has 27 divisors (see below), whose sum is σ = 6173073655203. Its totient is φ = 2806550457120.

The previous prime is 4241626749431. The next prime is 4241626749449. The reversal of 4241626749441 is 1449476261424.

The square root of 4241626749441 is 2059521.

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

4241626749441 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 626 + 7 + 4 + 9 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2491551756225 + 1750074993216 = 1578465^2 + 1322904^2 .

It is not a de Polignac number, because 4241626749441 - 2⁹ = 4241626748929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4241626749449) 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, 846460626 + ... + 846465636.

Almost surely, 2^{4241626749441} is an apocalyptic number.

4241626749441 is the 2059521-st square number.

4241626749441 is the 1029761-st centered octagonal number.

It is an amenable number.

4241626749441 is a deficient number, since it is larger than the sum of its proper divisors (1931446905762).

4241626749441 is an frugal number, since it uses more digits than its factorization.

4241626749441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10302 (or 5151 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 4241626749441 in words is "four trillion, two hundred forty-one billion, six hundred twenty-six million, seven hundred forty-nine thousand, four hundred forty-one".