1227483878400 has 396 divisors, whose sum is σ = 4733059390332. Its totient is φ = 302149140480.

The previous prime is 1227483878363. The next prime is 1227483878431. The reversal of 1227483878400 is 48783847221.

1227483878400 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 483 + 87 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 459098394624 + 768385483776 = 677568^2 + 876576^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2790292 + ... + 3200108.

Almost surely, 2^{1227483878400} is an apocalyptic number.

1227483878400 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 1227483878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366529695166).

1227483878400 is an abundant number, since it is smaller than the sum of its proper divisors (3505575511932).

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

1227483878400 is a wasteful number, since it uses less digits than its factorization.

1227483878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409866 (or 409840 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 1227483878400 in words is "one trillion, two hundred twenty-seven billion, four hundred eighty-three million, eight hundred seventy-eight thousand, four hundred".