4014164016625 has 24 divisors (see below), whose sum is σ = 5827583100456. Its totient is φ = 2752569607200.

The previous prime is 4014164016613. The next prime is 4014164016659. The reversal of 4014164016625 is 5266104614104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 776553975729 + 3237610040896 = 881223^2 + 1799336^2 .

It is not a de Polignac number, because 4014164016625 - 2²⁷ = 4014029798897 is a prime.

It is a super-2 number, since 2×4014164016625² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327680734 + ... + 327692983.

It is an arithmetic number, because the mean of its divisors is an integer number (242815962519).

Almost surely, 2^{4014164016625} is an apocalyptic number.

It is an amenable number.

4014164016625 is a deficient number, since it is larger than the sum of its proper divisors (1813419083831).

4014164016625 is an equidigital number, since it uses as much as digits as its factorization.

4014164016625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655373746 (or 655373729 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 4014164016625 in words is "four trillion, fourteen billion, one hundred sixty-four million, sixteen thousand, six hundred twenty-five".