1288704468480 has 1280 divisors, whose sum is σ = 5128861731840. Its totient is φ = 271672934400.

The previous prime is 1288704468427. The next prime is 1288704468511. The reversal of 1288704468480 is 848644078821.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1369504810 + ... + 1369505750.

It is an arithmetic number, because the mean of its divisors is an integer number (4006923228).

Almost surely, 2^{1288704468480} is an apocalyptic number.

1288704468480 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 1288704468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564430865920).

1288704468480 is an abundant number, since it is smaller than the sum of its proper divisors (3840157263360).

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

1288704468480 is a wasteful number, since it uses less digits than its factorization.

1288704468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 60.

The spelling of 1288704468480 in words is "one trillion, two hundred eighty-eight billion, seven hundred four million, four hundred sixty-eight thousand, four hundred eighty".