288400242096 has 480 divisors, whose sum is σ = 885191344128. Its totient is φ = 90786044160.

The previous prime is 288400242089. The next prime is 288400242113. The reversal of 288400242096 is 690242004882.

288400242096 is a `hidden beast` number, since 288 + 40 + 0 + 242 + 0 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1270485535 + ... + 1270485761.

Almost surely, 2^288400242096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288400242096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442595672064).

288400242096 is an abundant number, since it is smaller than the sum of its proper divisors (596791102032).

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

288400242096 is a wasteful number, since it uses less digits than its factorization.

288400242096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 288400242096 in words is "two hundred eighty-eight billion, four hundred million, two hundred forty-two thousand, ninety-six".