1380342240 has 288 divisors, whose sum is σ = 4992938496. Its totient is φ = 346536960.

The previous prime is 1380342209. The next prime is 1380342247. The reversal of 1380342240 is 422430831.

1380342240 is a `hidden beast` number, since 1 + 3 + 80 + 342 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380342247) 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, 2351227 + ... + 2351813.

It is an arithmetic number, because the mean of its divisors is an integer number (17336592).

Almost surely, 2^1380342240 is an apocalyptic number.

1380342240 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 1380342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496469248).

1380342240 is an abundant number, since it is smaller than the sum of its proper divisors (3612596256).

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

1380342240 is a wasteful number, since it uses less digits than its factorization.

1380342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1380342240 is about 37152.9573520063. The cubic root of 1380342240 is about 1113.4283097130.

The spelling of 1380342240 in words is "one billion, three hundred eighty million, three hundred forty-two thousand, two hundred forty".