4287761361 has 81 divisors (see below), whose sum is σ = 7108116561. Its totient is φ = 2489325696.

The previous prime is 4287761333. The next prime is 4287761371. The reversal of 4287761361 is 1631677824.

The square root of 4287761361 is 65481.

It is a perfect power (a square), and thus also a powerful number.

4287761361 is a `hidden beast` number, since 4 + 28 + 7 + 7 + 613 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 431351361 + 3856410000 = 20769^2 + 62100^2 .

It is not a de Polignac number, because 4287761361 - 2⁹ = 4287760849 is a prime.

Its product of digits (338688) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4287761371) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58736421 + ... + 58736493.

Almost surely, 2^4287761361 is an apocalyptic number.

4287761361 is the 65481-st square number.

4287761361 is the 32741-st centered octagonal number.

It is an amenable number.

4287761361 is a deficient number, since it is larger than the sum of its proper divisors (2820355200).

4287761361 is a wasteful number, since it uses less digits than its factorization.

4287761361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The cubic root of 4287761361 is about 1624.5891014420.

The spelling of 4287761361 in words is "four billion, two hundred eighty-seven million, seven hundred sixty-one thousand, three hundred sixty-one".