289374672407040 has 5760 divisors, whose sum is σ = 1273430735216640. Its totient is φ = 62669832192000.

The previous prime is 289374672407017. The next prime is 289374672407047. The reversal of 289374672407040 is 40704276473982.

289374672407040 is a `hidden beast` number, since 2 + 8 + 93 + 7 + 467 + 2 + 40 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is not an unprimeable number, because it can be changed into a prime (289374672407047) 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 575 ways as a sum of consecutive naturals, for example, 2704436190667 + ... + 2704436190773.

It is an arithmetic number, because the mean of its divisors is an integer number (221081724864).

Almost surely, 2^{289374672407040} is an apocalyptic number.

289374672407040 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 289374672407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636715367608320).

289374672407040 is an abundant number, since it is smaller than the sum of its proper divisors (984056062809600).

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

289374672407040 is a wasteful number, since it uses less digits than its factorization.

289374672407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 289374672407040 in words is "two hundred eighty-nine trillion, three hundred seventy-four billion, six hundred seventy-two million, four hundred seven thousand, forty".