77144004441 has 48 divisors (see below), whose sum is σ = 133007721600. Its totient is φ = 42163835904.

The previous prime is 77144004397. The next prime is 77144004517. The reversal of 77144004441 is 14440044177.

77144004441 is a `hidden beast` number, since 77 + 144 + 0 + 0 + 4 + 441 = 666.

It is not a de Polignac number, because 77144004441 - 2¹⁹ = 77143480153 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77144004396 and 77144004405.

It is not an unprimeable number, because it can be changed into a prime (77144004341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142936 + ... + 417993.

It is an arithmetic number, because the mean of its divisors is an integer number (2770994200).

Almost surely, 2^77144004441 is an apocalyptic number.

It is an amenable number.

77144004441 is a deficient number, since it is larger than the sum of its proper divisors (55863717159).

77144004441 is a wasteful number, since it uses less digits than its factorization.

77144004441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561038 (or 561035 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 77144004441 in words is "seventy-seven billion, one hundred forty-four million, four thousand, four hundred forty-one".