1288663482240 has 512 divisors, whose sum is σ = 4692697027200. Its totient is φ = 334017331200.

The previous prime is 1288663482221. The next prime is 1288663482251. The reversal of 1288663482240 is 422843668821.

1288663482240 is a `hidden beast` number, since 1 + 2 + 8 + 86 + 63 + 482 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199079644 + ... + 199086116.

Almost surely, 2^{1288663482240} is an apocalyptic number.

1288663482240 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 1288663482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346348513600).

1288663482240 is an abundant number, since it is smaller than the sum of its proper divisors (3404033544960).

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

1288663482240 is a wasteful number, since it uses less digits than its factorization.

1288663482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 1288663482240 in words is "one trillion, two hundred eighty-eight billion, six hundred sixty-three million, four hundred eighty-two thousand, two hundred forty".