1340144000 has 256 divisors, whose sum is σ = 3809332800. Its totient is φ = 464486400.

The previous prime is 1340143997. The next prime is 1340144011. The reversal of 1340144000 is 4410431.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1340144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3535811 + ... + 3536189.

Almost surely, 2^1340144000 is an apocalyptic number.

1340144000 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 1340144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904666400).

1340144000 is an abundant number, since it is smaller than the sum of its proper divisors (2469188800).

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

1340144000 is a wasteful number, since it uses less digits than its factorization.

1340144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1340144000 is about 36607.9772727202. The cubic root of 1340144000 is about 1102.5132616330.

Adding to 1340144000 its reverse (4410431), we get a palindrome (1344554431).

The spelling of 1340144000 in words is "one billion, three hundred forty million, one hundred forty-four thousand".