1288940497536 has 32 divisors (see below), whose sum is σ = 3423748197600. Its totient is φ = 429646832384.

The previous prime is 1288940497459. The next prime is 1288940497541. The reversal of 1288940497536 is 6357940498821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1288940497536² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1678307556 + ... + 1678308323.

It is an arithmetic number, because the mean of its divisors is an integer number (106992131175).

It is a 1-persistent number, because it is pandigital, but 2⋅1288940497536 = 2577880995072 is not.

Almost surely, 2^{1288940497536} is an apocalyptic number.

1288940497536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1288940497536 is an abundant number, since it is smaller than the sum of its proper divisors (2134807700064).

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

1288940497536 is an equidigital number, since it uses as much as digits as its factorization.

1288940497536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356615896 (or 3356615884 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 1288940497536 in words is "one trillion, two hundred eighty-eight billion, nine hundred forty million, four hundred ninety-seven thousand, five hundred thirty-six".