1288916995040 has 48 divisors (see below), whose sum is σ = 3073002831360. Its totient is φ = 510836820480.

The previous prime is 1288916995033. The next prime is 1288916995049. The reversal of 1288916995040 is 405996198821.

It is a super-2 number, since 2×1288916995040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288916995049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36935456 + ... + 36970335.

It is an arithmetic number, because the mean of its divisors is an integer number (64020892320).

Almost surely, 2^{1288916995040} is an apocalyptic number.

1288916995040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288916995040 is an abundant number, since it is smaller than the sum of its proper divisors (1784085836320).

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

1288916995040 is a wasteful number, since it uses less digits than its factorization.

1288916995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73905915 (or 73905907 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 62.

The spelling of 1288916995040 in words is "one trillion, two hundred eighty-eight billion, nine hundred sixteen million, nine hundred ninety-five thousand, forty".