1288728080640 has 3456 divisors, whose sum is σ = 6448868794368. Its totient is φ = 228898897920.

The previous prime is 1288728080611. The next prime is 1288728080677. The reversal of 1288728080640 is 460808278821.

1288728080640 is a `hidden beast` number, since 1 + 288 + 7 + 280 + 80 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11404673224 + ... + 11404673336.

It is an arithmetic number, because the mean of its divisors is an integer number (1865992128).

Almost surely, 2^{1288728080640} is an apocalyptic number.

1288728080640 is a gapful number since it is divisible by the number (10) 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 1288728080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224434397184).

1288728080640 is an abundant number, since it is smaller than the sum of its proper divisors (5160140713728).

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

1288728080640 is a wasteful number, since it uses less digits than its factorization.

1288728080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 1288728080640 in words is "one trillion, two hundred eighty-eight billion, seven hundred twenty-eight million, eighty thousand, six hundred forty".