1380368570400 has 864 divisors, whose sum is σ = 5551762664448. Its totient is φ = 320672563200.

The previous prime is 1380368570389. The next prime is 1380368570401. The reversal of 1380368570400 is 40758630831.

1380368570400 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 36 + 8 + 570 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1380368570401) 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 143 ways as a sum of consecutive naturals, for example, 87263292 + ... + 87279108.

It is an arithmetic number, because the mean of its divisors is an integer number (6425651232).

Almost surely, 2^{1380368570400} is an apocalyptic number.

1380368570400 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 1380368570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775881332224).

1380368570400 is an abundant number, since it is smaller than the sum of its proper divisors (4171394094048).

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

1380368570400 is a wasteful number, since it uses less digits than its factorization.

1380368570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15914 (or 15898 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1380368570400 in words is "one trillion, three hundred eighty billion, three hundred sixty-eight million, five hundred seventy thousand, four hundred".