1288243440 has 600 divisors, whose sum is σ = 5172418944. Its totient is φ = 296524800.

The previous prime is 1288243417. The next prime is 1288243447. The reversal of 1288243440 is 443428821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1288243395 and 1288243404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288243447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24306454 + ... + 24306506.

Almost surely, 2^1288243440 is an apocalyptic number.

1288243440 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 1288243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586209472).

1288243440 is an abundant number, since it is smaller than the sum of its proper divisors (3884175504).

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

1288243440 is a wasteful number, since it uses less digits than its factorization.

1288243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1288243440 is about 35892.1083248115. The cubic root of 1288243440 is about 1088.0929085524.

The spelling of 1288243440 in words is "one billion, two hundred eighty-eight million, two hundred forty-three thousand, four hundred forty".