288120603640 has 32 divisors (see below), whose sum is σ = 648618010560. Its totient is φ = 115186614400.

The previous prime is 288120603637. The next prime is 288120603647. The reversal of 288120603640 is 46306021882.

It is a super-3 number, since 3×288120603640³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 288120603593 and 288120603602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288120603647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1850071 + ... + 1999750.

It is an arithmetic number, because the mean of its divisors is an integer number (20269312830).

Almost surely, 2^288120603640 is an apocalyptic number.

288120603640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288120603640 is an abundant number, since it is smaller than the sum of its proper divisors (360497406920).

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

288120603640 is a wasteful number, since it uses less digits than its factorization.

288120603640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851703 (or 3851699 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 288120603640 in words is "two hundred eighty-eight billion, one hundred twenty million, six hundred three thousand, six hundred forty".