4094540109009 has 45 divisors (see below), whose sum is σ = 7115374752057. Its totient is φ = 2339664359256.

The previous prime is 4094540108941. The next prime is 4094540109013. The reversal of 4094540109009 is 9009010454904.

The square root of 4094540109009 is 2023497.

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

4094540109009 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 540 + 10 + 90 + 0 + 9 = 666.

It is not a de Polignac number, because 4094540109009 - 2¹³ = 4094540100817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4094540109109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 127464252 + ... + 127496370.

Almost surely, 2^{4094540109009} is an apocalyptic number.

4094540109009 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4094540109009 is the 2023497-th square number.

4094540109009 is the 1011749-th centered octagonal number.

It is an amenable number.

4094540109009 is a deficient number, since it is larger than the sum of its proper divisors (3020834643048).

4094540109009 is an frugal number, since it uses more digits than its factorization.

4094540109009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64264 (or 32129 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 4094540109009 in words is "four trillion, ninety-four billion, five hundred forty million, one hundred nine thousand, nine".