1442823298560 has 1920 divisors, whose sum is σ = 6150393849600. Its totient is φ = 312134860800.

The previous prime is 1442823298537. The next prime is 1442823298583. The reversal of 1442823298560 is 658923282441.

1442823298560 is a `hidden beast` number, since 1 + 4 + 42 + 8 + 2 + 32 + 9 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1442823298537) and next prime (1442823298583).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 1442823298497 and 1442823298506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19764702684 + ... + 19764702756.

It is an arithmetic number, because the mean of its divisors is an integer number (3203330130).

Almost surely, 2^{1442823298560} is an apocalyptic number.

1442823298560 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 1442823298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075196924800).

1442823298560 is an abundant number, since it is smaller than the sum of its proper divisors (4707570551040).

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

1442823298560 is an equidigital number, since it uses as much as digits as its factorization.

1442823298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1442823298560 in words is "one trillion, four hundred forty-two billion, eight hundred twenty-three million, two hundred ninety-eight thousand, five hundred sixty".