4004464065261 has 24 divisors (see below), whose sum is σ = 5885714487072. Its totient is φ = 2419953756000.

The previous prime is 4004464065253. The next prime is 4004464065263. The reversal of 4004464065261 is 1625604644004.

It is not a de Polignac number, because 4004464065261 - 2³ = 4004464065253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004464065263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15769690 + ... + 16021611.

It is an arithmetic number, because the mean of its divisors is an integer number (245238103628).

Almost surely, 2^{4004464065261} is an apocalyptic number.

It is an amenable number.

4004464065261 is a deficient number, since it is larger than the sum of its proper divisors (1881250421811).

4004464065261 is a wasteful number, since it uses less digits than its factorization.

4004464065261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31791673 (or 31791662 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4004464065261 in words is "four trillion, four billion, four hundred sixty-four million, sixty-five thousand, two hundred sixty-one".