39791871441 has 135 divisors (see below), whose sum is σ = 71302953449. Its totient is φ = 21380957136.

The previous prime is 39791871439. The next prime is 39791871479. The reversal of 39791871441 is 14417819793.

It is a happy number.

The square root of 39791871441 is 199479.

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

39791871441 is a `hidden beast` number, since 39 + 7 + 91 + 87 + 1 + 441 = 666.

39791871441 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 39791871441 - 2¹ = 39791871439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39791871401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 674438470 + ... + 674438528.

Almost surely, 2^39791871441 is an apocalyptic number.

39791871441 is the 199479-th square number.

39791871441 is the 99740-th centered octagonal number.

It is an amenable number.

39791871441 is a deficient number, since it is larger than the sum of its proper divisors (31511082008).

39791871441 is an frugal number, since it uses more digits than its factorization.

39791871441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 92 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 39791871441 in words is "thirty-nine billion, seven hundred ninety-one million, eight hundred seventy-one thousand, four hundred forty-one".