289029843042240 has 896 divisors, whose sum is σ = 992648358217728. Its totient is φ = 71062207856640.

The previous prime is 289029843042221. The next prime is 289029843042299. The reversal of 289029843042240 is 42240348920982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61222163080 + ... + 61222167800.

Almost surely, 2^{289029843042240} is an apocalyptic number.

289029843042240 is a gapful number since it is divisible by the number (20) 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 289029843042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496324179108864).

289029843042240 is an abundant number, since it is smaller than the sum of its proper divisors (703618515175488).

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

289029843042240 is a wasteful number, since it uses less digits than its factorization.

289029843042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 289029843042240 in words is "two hundred eighty-nine trillion, twenty-nine billion, eight hundred forty-three million, forty-two thousand, two hundred forty".