4144764765625 has 128 divisors (see below), whose sum is σ = 5842110044160. Its totient is φ = 2914560000000.

The previous prime is 4144764765623. The next prime is 4144764765671. The reversal of 4144764765625 is 5265674674414.

It is not a de Polignac number, because 4144764765625 - 2¹ = 4144764765623 is a prime.

It is a super-2 number, since 2×4144764765625² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4144764765623) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3594765049 + ... + 3594766201.

It is an arithmetic number, because the mean of its divisors is an integer number (45641484720).

Almost surely, 2^{4144764765625} is an apocalyptic number.

It is an amenable number.

4144764765625 is a deficient number, since it is larger than the sum of its proper divisors (1697345278535).

4144764765625 is an frugal number, since it uses more digits than its factorization.

4144764765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1305 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 61.

The spelling of 4144764765625 in words is "four trillion, one hundred forty-four billion, seven hundred sixty-four million, seven hundred sixty-five thousand, six hundred twenty-five".