1422812828400 has 120 divisors (see below), whose sum is σ = 4562092642800. Its totient is φ = 379054725120.

The previous prime is 1422812828387. The next prime is 1422812828419. The reversal of 1422812828400 is 48282182241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 693654 + ... + 1823946.

It is an arithmetic number, because the mean of its divisors is an integer number (38017438690).

Almost surely, 2^{1422812828400} is an apocalyptic number.

1422812828400 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 1422812828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281046321400).

1422812828400 is an abundant number, since it is smaller than the sum of its proper divisors (3139279814400).

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

1422812828400 is a wasteful number, since it uses less digits than its factorization.

1422812828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131363 (or 1131352 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 1422812828400 in words is "one trillion, four hundred twenty-two billion, eight hundred twelve million, eight hundred twenty-eight thousand, four hundred".