1288734468840 has 768 divisors, whose sum is σ = 5465202462720. Its totient is φ = 256018268160.

The previous prime is 1288734468781. The next prime is 1288734468851. The reversal of 1288734468840 is 488644378821.

1288734468840 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 73 + 446 + 88 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37558572 + ... + 37592868.

It is an arithmetic number, because the mean of its divisors is an integer number (7116149040).

Almost surely, 2^{1288734468840} is an apocalyptic number.

1288734468840 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 1288734468840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732601231360).

1288734468840 is an abundant number, since it is smaller than the sum of its proper divisors (4176467993880).

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

1288734468840 is a wasteful number, since it uses less digits than its factorization.

1288734468840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34402 (or 34395 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 1288734468840 in words is "one trillion, two hundred eighty-eight billion, seven hundred thirty-four million, four hundred sixty-eight thousand, eight hundred forty".