1288914140 has 48 divisors (see below), whose sum is σ = 2757365184. Its totient is φ = 505958400.

The previous prime is 1288914103. The next prime is 1288914169. The reversal of 1288914140 is 414198821.

It is a super-2 number, since 2×1288914140² = 3322599320583879200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1288914094 and 1288914103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703025 + ... + 704855.

It is an arithmetic number, because the mean of its divisors is an integer number (57445108).

Almost surely, 2^1288914140 is an apocalyptic number.

1288914140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288914140 is an abundant number, since it is smaller than the sum of its proper divisors (1468451044).

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

1288914140 is a wasteful number, since it uses less digits than its factorization.

1288914140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 1288914140 is about 35901.4503885289. The cubic root of 1288914140 is about 1088.2817075734.

The spelling of 1288914140 in words is "one billion, two hundred eighty-eight million, nine hundred fourteen thousand, one hundred forty".