1077440337441 has 20 divisors (see below), whose sum is σ = 1733318075412. Its totient is φ = 663040207008.

The previous prime is 1077440337383. The next prime is 1077440337451. The reversal of 1077440337441 is 1447330447701.

1077440337441 is a `hidden beast` number, since 1 + 0 + 77 + 440 + 33 + 74 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43151337441 + 1034289000000 = 207729^2 + 1017000^2 .

It is not a de Polignac number, because 1077440337441 - 2⁷ = 1077440337313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1077440337451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 511604046 + ... + 511606151.

Almost surely, 2^{1077440337441} is an apocalyptic number.

It is an amenable number.

1077440337441 is a deficient number, since it is larger than the sum of its proper divisors (655877737971).

1077440337441 is a wasteful number, since it uses less digits than its factorization.

1077440337441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023210222 (or 1023210213 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 1077440337441 in words is "one trillion, seventy-seven billion, four hundred forty million, three hundred thirty-seven thousand, four hundred forty-one".