1421270323200 has 2340 divisors, whose sum is σ = 6619888057860. Its totient is φ = 298757652480.

The previous prime is 1421270323157. The next prime is 1421270323223. The reversal of 1421270323200 is 23230721241.

1421270323200 is a `hidden beast` number, since 1 + 42 + 1 + 270 + 32 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 453392142336 + 967878180864 = 673344^2 + 983808^2 .

It is a tau number, because it is divible by the number of its divisors (2340).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5283532666 + ... + 5283532934.

Almost surely, 2^{1421270323200} is an apocalyptic number.

1421270323200 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 1421270323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309944028930).

1421270323200 is an abundant number, since it is smaller than the sum of its proper divisors (5198617734660).

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

1421270323200 is a wasteful number, since it uses less digits than its factorization.

1421270323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 1421270323200 in words is "one trillion, four hundred twenty-one billion, two hundred seventy million, three hundred twenty-three thousand, two hundred".