289408444416 has 648 divisors, whose sum is σ = 1053839314710. Its totient is φ = 75841339392.

The previous prime is 289408444349. The next prime is 289408444417. The reversal of 289408444416 is 614444804982.

289408444416 is a `hidden beast` number, since 2 + 89 + 40 + 84 + 4 + 441 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 140103484416 + 149304960000 = 374304^2 + 386400^2 .

It is not an unprimeable number, because it can be changed into a prime (289408444417) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1843365810 + ... + 1843365966.

Almost surely, 2^289408444416 is an apocalyptic number.

289408444416 is a gapful number since it is divisible by the number (26) 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 289408444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526919657355).

289408444416 is an abundant number, since it is smaller than the sum of its proper divisors (764430870294).

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

289408444416 is a wasteful number, since it uses less digits than its factorization.

289408444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 289408444416 in words is "two hundred eighty-nine billion, four hundred eight million, four hundred forty-four thousand, four hundred sixteen".