4761414009 has 135 divisors (see below), whose sum is σ = 8512569373. Its totient is φ = 2649715200.

The previous prime is 4761413963. The next prime is 4761414011. The reversal of 4761414009 is 9004141674.

The square root of 4761414009 is 69003.

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

4761414009 is a `hidden beast` number, since 476 + 141 + 40 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 335439225 + 4425974784 = 18315^2 + 66528^2 .

It is not a de Polignac number, because 4761414009 - 2¹¹ = 4761411961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4761414019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 116132029 + ... + 116132069.

Almost surely, 2^4761414009 is an apocalyptic number.

4761414009 is the 69003-rd square number.

4761414009 is the 34502-nd centered octagonal number.

It is an amenable number.

4761414009 is a deficient number, since it is larger than the sum of its proper divisors (3751155364).

4761414009 is a wasteful number, since it uses less digits than its factorization.

4761414009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 4761414009 is about 1682.3330690802. Note that the first 3 decimals are identical.

Multiplying 4761414009 by its sum of digits (36), we get a square (171410904324 = 414018²).

The spelling of 4761414009 in words is "four billion, seven hundred sixty-one million, four hundred fourteen thousand, nine".