1320040512 has 336 divisors, whose sum is σ = 4564684800. Its totient is φ = 356797440.

The previous prime is 1320040471. The next prime is 1320040517. The reversal of 1320040512 is 2150400231.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1320040517) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7374439 + ... + 7374617.

Almost surely, 2^1320040512 is an apocalyptic number.

1320040512 is a gapful number since it is divisible by the number (12) 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 1320040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282342400).

1320040512 is an abundant number, since it is smaller than the sum of its proper divisors (3244644288).

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

1320040512 is a wasteful number, since it uses less digits than its factorization.

1320040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1320040512 is about 36332.3617729429. The cubic root of 1320040512 is about 1096.9725326183.

Adding to 1320040512 its reverse (2150400231), we get a palindrome (3470440743).

The spelling of 1320040512 in words is "one billion, three hundred twenty million, forty thousand, five hundred twelve".