4471415564 has 96 divisors (see below), whose sum is σ = 10032325632. Its totient is φ = 1693440000.

The previous prime is 4471415551. The next prime is 4471415569. The reversal of 4471415564 is 4655141744.

It is not an unprimeable number, because it can be changed into a prime (4471415569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594964 + ... + 1597764.

It is an arithmetic number, because the mean of its divisors is an integer number (104503392).

Almost surely, 2^4471415564 is an apocalyptic number.

4471415564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4471415564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016162816).

4471415564 is an abundant number, since it is smaller than the sum of its proper divisors (5560910068).

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

4471415564 is a wasteful number, since it uses less digits than its factorization.

4471415564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2965 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 4471415564 is about 66868.6441017014. The cubic root of 4471415564 is about 1647.4605029204.

The spelling of 4471415564 in words is "four billion, four hundred seventy-one million, four hundred fifteen thousand, five hundred sixty-four".