4065416145604 has 48 divisors (see below), whose sum is σ = 8218440510336. Its totient is φ = 1739078438400.

The previous prime is 4065416145559. The next prime is 4065416145607.

4065416145604 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4065416145607) 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, 9586009 + ... + 10001119.

It is an arithmetic number, because the mean of its divisors is an integer number (171217510632).

Almost surely, 2^{4065416145604} is an apocalyptic number.

4065416145604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4065416145604 is an abundant number, since it is smaller than the sum of its proper divisors (4153024364732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4065416145604 is a wasteful number, since it uses less digits than its factorization.

4065416145604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428236 (or 428234 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 4065416145604 in words is "four trillion, sixty-five billion, four hundred sixteen million, one hundred forty-five thousand, six hundred four".