4084210609249 has 27 divisors (see below), whose sum is σ = 4423967582713. Its totient is φ = 3769753899392.

The previous prime is 4084210609159. The next prime is 4084210609279. The reversal of 4084210609249 is 9429060124804.

It is a happy number.

The square root of 4084210609249 is 2020943.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1023320397649 + 3060890211600 = 1011593^2 + 1749540^2 .

It is not a de Polignac number, because 4084210609249 - 2³¹ = 4082063125601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4084210609279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1820868522 + ... + 1820870764.

Almost surely, 2^{4084210609249} is an apocalyptic number.

4084210609249 is the 2020943-rd square number.

4084210609249 is the 1010472-nd centered octagonal number.

It is an amenable number.

4084210609249 is a deficient number, since it is larger than the sum of its proper divisors (339756973464).

4084210609249 is an frugal number, since it uses more digits than its factorization.

4084210609249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 4084210609249 by its sum of digits (49), we get a square (200126319853201 = 14146601²).

The spelling of 4084210609249 in words is "four trillion, eighty-four billion, two hundred ten million, six hundred nine thousand, two hundred forty-nine".