8077407661441 has 8 divisors (see below), whose sum is σ = 8111465145000. Its totient is φ = 8043394324992.

The previous prime is 8077407661331. The next prime is 8077407661471. The reversal of 8077407661441 is 1441667047708.

It can be written as a sum of positive squares in 4 ways, for example, as 2510073031041 + 5567334630400 = 1584321^2 + 2359520^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8077407661441 - 2¹⁹ = 8077407137153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8077407661471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10670050 + ... + 11401963.

It is an arithmetic number, because the mean of its divisors is an integer number (1013933143125).

Almost surely, 2^{8077407661441} is an apocalyptic number.

It is an amenable number.

8077407661441 is a deficient number, since it is larger than the sum of its proper divisors (34057483559).

8077407661441 is a wasteful number, since it uses less digits than its factorization.

8077407661441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22073555.

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 8077407661441 in words is "eight trillion, seventy-seven billion, four hundred seven million, six hundred sixty-one thousand, four hundred forty-one".