77710400434441 has 12 divisors (see below), whose sum is σ = 81236549896852. Its totient is φ = 74331197081856.

The previous prime is 77710400434417. The next prime is 77710400434463. The reversal of 77710400434441 is 14443400401777.

It can be written as a sum of positive squares in 2 ways, for example, as 42801741628416 + 34908658806025 = 6542304^2 + 5908355^2 .

It is not a de Polignac number, because 77710400434441 - 2⁹ = 77710400433929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77710400434391 and 77710400434400.

It is not an unprimeable number, because it can be changed into a prime (77710400434241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99134065 + ... + 99914881.

Almost surely, 2^{77710400434441} is an apocalyptic number.

It is an amenable number.

77710400434441 is a deficient number, since it is larger than the sum of its proper divisors (3526149462411).

77710400434441 is a wasteful number, since it uses less digits than its factorization.

77710400434441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969000 (or 968977 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 46.

The spelling of 77710400434441 in words is "seventy-seven trillion, seven hundred ten billion, four hundred million, four hundred thirty-four thousand, four hundred forty-one".