1322274878400 has 1260 divisors, whose sum is σ = 5389642543528. Its totient is φ = 283739258880.

The previous prime is 1322274878377. The next prime is 1322274878413. The reversal of 1322274878400 is 48784722231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1322274878400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3330667002 + ... + 3330667398.

Almost surely, 2^{1322274878400} is an apocalyptic number.

1322274878400 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 1322274878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694821271764).

1322274878400 is an abundant number, since it is smaller than the sum of its proper divisors (4067367665128).

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

1322274878400 is an equidigital number, since it uses as much as digits as its factorization.

1322274878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 1322274878400 in words is "one trillion, three hundred twenty-two billion, two hundred seventy-four million, eight hundred seventy-eight thousand, four hundred".