9040016241 has 27 divisors (see below), whose sum is σ = 13401388897. Its totient is φ = 5872079040.

The previous prime is 9040016239. The next prime is 9040016257. The reversal of 9040016241 is 1426100409.

The square root of 9040016241 is 95079.

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

9040016241 is a `hidden beast` number, since 9 + 0 + 400 + 16 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7139405025 + 1900611216 = 84495^2 + 43596^2 .

It is not a de Polignac number, because 9040016241 - 2¹ = 9040016239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9040016201) 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, 11694331 + ... + 11695103.

Almost surely, 2^9040016241 is an apocalyptic number.

9040016241 is the 95079-th square number.

9040016241 is the 47540-th centered octagonal number.

It is an amenable number.

9040016241 is a deficient number, since it is larger than the sum of its proper divisors (4361372656).

9040016241 is an frugal number, since it uses more digits than its factorization.

9040016241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 9040016241 is about 2083.1621221277.

The spelling of 9040016241 in words is "nine billion, forty million, sixteen thousand, two hundred forty-one".