288406812540 has 768 divisors, whose sum is σ = 1095955660800. Its totient is φ = 54842572800.

The previous prime is 288406812509. The next prime is 288406812563. The reversal of 288406812540 is 45218604882.

288406812540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 288406812540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 505090455 + ... + 505091025.

It is an arithmetic number, because the mean of its divisors is an integer number (1427025600).

Almost surely, 2^288406812540 is an apocalyptic number.

288406812540 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 288406812540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547977830400).

288406812540 is an abundant number, since it is smaller than the sum of its proper divisors (807548848260).

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

288406812540 is a wasteful number, since it uses less digits than its factorization.

288406812540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 288406812540 in words is "two hundred eighty-eight billion, four hundred six million, eight hundred twelve thousand, five hundred forty".