289961441280000 has 4200 divisors, whose sum is σ = 1288903334906880. Its totient is φ = 63780618240000.

The previous prime is 289961441279963. The next prime is 289961441280011. The reversal of 289961441280000 is 82144169982.

It is a happy number.

289961441280000 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 614 + 4 + 12 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 1619896319911 + ... + 1619896320089.

Almost surely, 2^{289961441280000} is an apocalyptic number.

289961441280000 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 289961441280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644451667453440).

289961441280000 is an abundant number, since it is smaller than the sum of its proper divisors (998941893626880).

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

289961441280000 is an frugal number, since it uses more digits than its factorization.

289961441280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 289961441280000 in words is "two hundred eighty-nine trillion, nine hundred sixty-one billion, four hundred forty-one million, two hundred eighty thousand".