288400242097 has 16 divisors (see below), whose sum is σ = 314997350400. Its totient is φ = 261866489040.

The previous prime is 288400242089. The next prime is 288400242113. The reversal of 288400242097 is 790242004882.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 288400242097 - 2³ = 288400242089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288400242017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62166304 + ... + 62170942.

It is an arithmetic number, because the mean of its divisors is an integer number (19687334400).

Almost surely, 2^288400242097 is an apocalyptic number.

It is an amenable number.

288400242097 is a deficient number, since it is larger than the sum of its proper divisors (26597108303).

288400242097 is a wasteful number, since it uses less digits than its factorization.

288400242097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10236.

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 288400242097 in words is "two hundred eighty-eight billion, four hundred million, two hundred forty-two thousand, ninety-seven".