4277951142561 has 12 divisors (see below), whose sum is σ = 6179541985188. Its totient is φ = 2851838555904.

The previous prime is 4277951142557. The next prime is 4277951142583. The reversal of 4277951142561 is 1652411597724.

4277951142561 is a `hidden beast` number, since 4 + 2 + 7 + 79 + 5 + 1 + 1 + 4 + 2 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 182184702561 + 4095766440000 = 426831^2 + 2023800^2 .

It is not a de Polignac number, because 4277951142561 - 2² = 4277951142557 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4277951142498 and 4277951142507.

It is not an unprimeable number, because it can be changed into a prime (4277951146561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10528920 + ... + 10927673.

It is an arithmetic number, because the mean of its divisors is an integer number (514961832099).

Almost surely, 2^{4277951142561} is an apocalyptic number.

It is an amenable number.

4277951142561 is a deficient number, since it is larger than the sum of its proper divisors (1901590842627).

4277951142561 is a wasteful number, since it uses less digits than its factorization.

4277951142561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21478752 (or 21478749 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 4277951142561 in words is "four trillion, two hundred seventy-seven billion, nine hundred fifty-one million, one hundred forty-two thousand, five hundred sixty-one".