4441156164 has 81 divisors (see below), whose sum is σ = 11657153053. Its totient is φ = 1425605664.

The previous prime is 4441156141. The next prime is 4441156201. The reversal of 4441156164 is 4616511444.

The square root of 4441156164 is 66642.

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

4441156164 is a `hidden beast` number, since 4 + 441 + 1 + 56 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2328834564 + 2112321600 = 48258^2 + 45960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11595517 + ... + 11595899.

Almost surely, 2^4441156164 is an apocalyptic number.

4441156164 is the 66642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441156164

4441156164 is an abundant number, since it is smaller than the sum of its proper divisors (7215996889).

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

4441156164 is a wasteful number, since it uses less digits than its factorization.

4441156164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The cubic root of 4441156164 is about 1643.7358029992.

Multiplying 4441156164 by its sum of digits (36), we get a square (159881621904 = 399852²).

4441156164 divided by its sum of digits (36) gives a square (123365449 = 11107²).

The spelling of 4441156164 in words is "four billion, four hundred forty-one million, one hundred fifty-six thousand, one hundred sixty-four".