1288324440 has 320 divisors, whose sum is σ = 4738456800. Its totient is φ = 312035328.

The previous prime is 1288324409. The next prime is 1288324451. The reversal of 1288324440 is 444238821.

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 = 1288324395 and 1288324404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3074551 + ... + 3074969.

Almost surely, 2^1288324440 is an apocalyptic number.

1288324440 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 1288324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369228400).

1288324440 is an abundant number, since it is smaller than the sum of its proper divisors (3450132360).

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

1288324440 is a wasteful number, since it uses less digits than its factorization.

1288324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

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

The square root of 1288324440 is about 35893.2366888248. The cubic root of 1288324440 is about 1088.1157131652.

The spelling of 1288324440 in words is "one billion, two hundred eighty-eight million, three hundred twenty-four thousand, four hundred forty".