1380096000 has 288 divisors, whose sum is σ = 4982796000. Its totient is φ = 367411200.

The previous prime is 1380095999. The next prime is 1380096013. The reversal of 1380096000 is 6900831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303701 + ... + 2304299.

It is an arithmetic number, because the mean of its divisors is an integer number (17301375).

Almost surely, 2^1380096000 is an apocalyptic number.

1380096000 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 1380096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491398000).

1380096000 is an abundant number, since it is smaller than the sum of its proper divisors (3602700000).

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

1380096000 is an equidigital number, since it uses as much as digits as its factorization.

1380096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1380096000 is about 37149.6433361075. The cubic root of 1380096000 is about 1113.3620974158.

Adding to 1380096000 its reverse (6900831), we get a palindrome (1386996831).

The spelling of 1380096000 in words is "one billion, three hundred eighty million, ninety-six thousand".