4415705444164 has 27 divisors (see below), whose sum is σ = 8989174543293. Its totient is φ = 1892432582208.

The previous prime is 4415705444147. The next prime is 4415705444201. The reversal of 4415705444164 is 4614445075144.

The square root of 4415705444164 is 2101358.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1817831992900 + 2597873451264 = 1348270^2 + 1611792^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29343964 + ... + 29494060.

Almost surely, 2^{4415705444164} is an apocalyptic number.

4415705444164 is the 2101358-th square number.

It is an amenable number.

4415705444164 is an abundant number, since it is smaller than the sum of its proper divisors (4573469099129).

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

4415705444164 is an frugal number, since it uses more digits than its factorization.

4415705444164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300212 (or 150106 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 49.

Multiplying 4415705444164 by its sum of digits (49), we get a square (216369566764036 = 14709506²).

4415705444164 divided by its sum of digits (49) gives a square (90116437636 = 300194²).

The spelling of 4415705444164 in words is "four trillion, four hundred fifteen billion, seven hundred five million, four hundred forty-four thousand, one hundred sixty-four".