1380368640 has 288 divisors, whose sum is σ = 5103786240. Its totient is φ = 311427072.

The previous prime is 1380368629. The next prime is 1380368641. The reversal of 1380368640 is 468630831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380368641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2392032 + ... + 2392608.

It is an arithmetic number, because the mean of its divisors is an integer number (17721480).

Almost surely, 2^1380368640 is an apocalyptic number.

1380368640 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 1380368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551893120).

1380368640 is an abundant number, since it is smaller than the sum of its proper divisors (3723417600).

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

1380368640 is an equidigital number, since it uses as much as digits as its factorization.

1380368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1380368640 is about 37153.3126383099. The cubic root of 1380368640 is about 1113.4354080299.

The spelling of 1380368640 in words is "one billion, three hundred eighty million, three hundred sixty-eight thousand, six hundred forty".