289440946080 has 1152 divisors, whose sum is σ = 1249514864640. Its totient is φ = 61914378240.

The previous prime is 289440946061. The next prime is 289440946087. The reversal of 289440946080 is 80649044982.

289440946080 is a `hidden beast` number, since 2 + 89 + 440 + 9 + 46 + 0 + 80 = 666.

It is a super-2 number, since 2×289440946080² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (289440946087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184709457 + ... + 184711023.

It is an arithmetic number, because the mean of its divisors is an integer number (1084648320).

Almost surely, 2^289440946080 is an apocalyptic number.

289440946080 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 289440946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624757432320).

289440946080 is an abundant number, since it is smaller than the sum of its proper divisors (960073918560).

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

289440946080 is a wasteful number, since it uses less digits than its factorization.

289440946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 289440946080 in words is "two hundred eighty-nine billion, four hundred forty million, nine hundred forty-six thousand, eighty".