4021416590409 has 27 divisors (see below), whose sum is σ = 6072455080237. Its totient is φ = 2564293358616.

The previous prime is 4021416590407. The next prime is 4021416590467. The reversal of 4021416590409 is 9040956141204.

The square root of 4021416590409 is 2005347.

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

4021416590409 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 4 + 16 + 590 + 40 + 9 = 666.

It is not a de Polignac number, because 4021416590409 - 2¹ = 4021416590407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4021416590407) 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, 138354412 + ... + 138383474.

Almost surely, 2^{4021416590409} is an apocalyptic number.

4021416590409 is the 2005347-th square number.

4021416590409 is the 1002674-th centered octagonal number.

It is an amenable number.

4021416590409 is a deficient number, since it is larger than the sum of its proper divisors (2051038489828).

4021416590409 is an frugal number, since it uses more digits than its factorization.

4021416590409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58178 (or 29089 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4021416590409 in words is "four trillion, twenty-one billion, four hundred sixteen million, five hundred ninety thousand, four hundred nine".