1288828440000 has 840 divisors, whose sum is σ = 4893545376720. Its totient is φ = 323635200000.

The previous prime is 1288828439993. The next prime is 1288828440001. The reversal of 1288828440000 is 448288821.

1288828440000 is a `hidden beast` number, since 12 + 88 + 82 + 84 + 400 + 0 + 0 = 666.

It is a super-2 number, since 2×1288828440000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288828440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 428038495 + ... + 428041505.

It is an arithmetic number, because the mean of its divisors is an integer number (5825649258).

Almost surely, 2^{1288828440000} is an apocalyptic number.

1288828440000 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 1288828440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446772688360).

1288828440000 is an abundant number, since it is smaller than the sum of its proper divisors (3604716936720).

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

1288828440000 is a wasteful number, since it uses less digits than its factorization.

1288828440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 1288828440000 in words is "one trillion, two hundred eighty-eight billion, eight hundred twenty-eight million, four hundred forty thousand".