2409441796801 has 8 divisors (see below), whose sum is σ = 2617746160680. Its totient is φ = 2204417816832.

The previous prime is 2409441796753. The next prime is 2409441796823. The reversal of 2409441796801 is 1086971449042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 164044440576 + 2245397356225 = 405024^2 + 1498465^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2409441796801 - 2²⁷ = 2409307579073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2409441796501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 820094446 + ... + 820097383.

It is an arithmetic number, because the mean of its divisors is an integer number (327218270085).

Almost surely, 2^{2409441796801} is an apocalyptic number.

It is an amenable number.

2409441796801 is a deficient number, since it is larger than the sum of its proper divisors (208304363879).

2409441796801 is a wasteful number, since it uses less digits than its factorization.

2409441796801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640191955.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 2409441796801 in words is "two trillion, four hundred nine billion, four hundred forty-one million, seven hundred ninety-six thousand, eight hundred one".