289414141920 has 288 divisors, whose sum is σ = 1024843083264. Its totient is φ = 74319436800.

The previous prime is 289414141889. The next prime is 289414141927. The reversal of 289414141920 is 29141414982.

289414141920 is a `hidden beast` number, since 2 + 8 + 9 + 41 + 414 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289414141927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363405 + ... + 4429235.

It is an arithmetic number, because the mean of its divisors is an integer number (3558482928).

Almost surely, 2^289414141920 is an apocalyptic number.

289414141920 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 289414141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512421541632).

289414141920 is an abundant number, since it is smaller than the sum of its proper divisors (735428941344).

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

289414141920 is a wasteful number, since it uses less digits than its factorization.

289414141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65966 (or 65955 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 289414141920 in words is "two hundred eighty-nine billion, four hundred fourteen million, one hundred forty-one thousand, nine hundred twenty".