1384421356800 has 324 divisors, whose sum is σ = 5240776561020. Its totient is φ = 347462369280.

The previous prime is 1384421356777. The next prime is 1384421356807. The reversal of 1384421356800 is 86531244831.

1384421356800 is a `hidden beast` number, since 1 + 3 + 84 + 4 + 2 + 1 + 3 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 133710160896 + 1250711195904 = 365664^2 + 1118352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384421356807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 272286 + ... + 1686114.

Almost surely, 2^{1384421356800} is an apocalyptic number.

1384421356800 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 1384421356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620388280510).

1384421356800 is an abundant number, since it is smaller than the sum of its proper divisors (3856355204220).

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

1384421356800 is a wasteful number, since it uses less digits than its factorization.

1384421356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413878 (or 1413856 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1384421356800 in words is "one trillion, three hundred eighty-four billion, four hundred twenty-one million, three hundred fifty-six thousand, eight hundred".