4005645664641 has 16 divisors (see below), whose sum is σ = 5454824908800. Its totient is φ = 2613455279568.

The previous prime is 4005645664621. The next prime is 4005645664681. The reversal of 4005645664641 is 1464665465004.

It is not a de Polignac number, because 4005645664641 - 2²¹ = 4005643567489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4005645664621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515450 + ... + 3210588.

It is an arithmetic number, because the mean of its divisors is an integer number (340926556800).

Almost surely, 2^{4005645664641} is an apocalyptic number.

It is an amenable number.

4005645664641 is a deficient number, since it is larger than the sum of its proper divisors (1449179244159).

4005645664641 is a wasteful number, since it uses less digits than its factorization.

4005645664641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711948.

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 4005645664641 in words is "four trillion, five billion, six hundred forty-five million, six hundred sixty-four thousand, six hundred forty-one".