1288714240 has 192 divisors, whose sum is σ = 3576998880. Its totient is φ = 440401920.

The previous prime is 1288714211. The next prime is 1288714241. The reversal of 1288714240 is 424178821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1288714240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288714241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914544 + ... + 1915216.

Almost surely, 2^1288714240 is an apocalyptic number.

1288714240 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 1288714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788499440).

1288714240 is an abundant number, since it is smaller than the sum of its proper divisors (2288284640).

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

1288714240 is a wasteful number, since it uses less digits than its factorization.

1288714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 1288714240 is about 35898.6662704898. Note that the first 3 decimals coincide. The cubic root of 1288714240 is about 1088.2254434789.

The spelling of 1288714240 in words is "one billion, two hundred eighty-eight million, seven hundred fourteen thousand, two hundred forty".