4115844345001 has 16 divisors (see below), whose sum is σ = 4483866240000. Its totient is φ = 3763082486016.

The previous prime is 4115844344971. The next prime is 4115844345029. The reversal of 4115844345001 is 1005434485114.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4115844345001 - 2²⁵ = 4115810790569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4115844345091) 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 15 ways as a sum of consecutive naturals, for example, 434416 + ... + 2901793.

It is an arithmetic number, because the mean of its divisors is an integer number (280241640000).

Almost surely, 2^{4115844345001} is an apocalyptic number.

It is an amenable number.

4115844345001 is a deficient number, since it is larger than the sum of its proper divisors (368021894999).

4115844345001 is a wasteful number, since it uses less digits than its factorization.

4115844345001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338496.

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 4115844345001 in words is "four trillion, one hundred fifteen billion, eight hundred forty-four million, three hundred forty-five thousand, one".