1380380400000 has 2304 divisors, whose sum is σ = 6329969856000. Its totient is φ = 289267200000.

The previous prime is 1380380399999. The next prime is 1380380400041. The reversal of 1380380400000 is 40830831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44528399985 + ... + 44528400015.

It is an arithmetic number, because the mean of its divisors is an integer number (2747382750).

Almost surely, 2^{1380380400000} is an apocalyptic number.

1380380400000 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 1380380400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164984928000).

1380380400000 is an abundant number, since it is smaller than the sum of its proper divisors (4949589456000).

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

1380380400000 is an frugal number, since it uses more digits than its factorization.

1380380400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1380380400000 in words is "one trillion, three hundred eighty billion, three hundred eighty million, four hundred thousand".