1288420577440 has 48 divisors (see below), whose sum is σ = 3043985768712. Its totient is φ = 515352628224.

The previous prime is 1288420577387. The next prime is 1288420577537. The reversal of 1288420577440 is 447750248821.

It can be written as a sum of positive squares in 4 ways, for example, as 812745522576 + 475675054864 = 901524^2 + 689692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6201322 + ... + 6405718.

Almost surely, 2^{1288420577440} is an apocalyptic number.

1288420577440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288420577440 is an abundant number, since it is smaller than the sum of its proper divisors (1755565191272).

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

1288420577440 is a wasteful number, since it uses less digits than its factorization.

1288420577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243809 (or 243801 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 52.

The spelling of 1288420577440 in words is "one trillion, two hundred eighty-eight billion, four hundred twenty million, five hundred seventy-seven thousand, four hundred forty".