1288178340 has 96 divisors (see below), whose sum is σ = 3919319040. Its totient is φ = 314928000.

The previous prime is 1288178317. The next prime is 1288178351. The reversal of 1288178340 is 438718821.

It is a junction number, because it is equal to n+sod(n) for n = 1288178292 and 1288178301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17115 + ... + 53565.

It is an arithmetic number, because the mean of its divisors is an integer number (40826240).

Almost surely, 2^1288178340 is an apocalyptic number.

1288178340 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 1288178340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959659520).

1288178340 is an abundant number, since it is smaller than the sum of its proper divisors (2631140700).

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

1288178340 is a wasteful number, since it uses less digits than its factorization.

1288178340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36513 (or 36511 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 1288178340 is about 35891.2014287625. The cubic root of 1288178340 is about 1088.0745797078.

The spelling of 1288178340 in words is "one billion, two hundred eighty-eight million, one hundred seventy-eight thousand, three hundred forty".