1442117457792 has 288 divisors, whose sum is σ = 4701012240600. Its totient is φ = 437002490880.

The previous prime is 1442117457731. The next prime is 1442117457817. The reversal of 1442117457792 is 2977547112441.

1442117457792 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 117 + 457 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9159834 + ... + 9315942.

Almost surely, 2^{1442117457792} is an apocalyptic number.

1442117457792 is a gapful number since it is divisible by the number (12) 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 1442117457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350506120300).

1442117457792 is an abundant number, since it is smaller than the sum of its proper divisors (3258894782808).

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

1442117457792 is an frugal number, since it uses more digits than its factorization.

1442117457792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156158 (or 156125 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 1442117457792 in words is "one trillion, four hundred forty-two billion, one hundred seventeen million, four hundred fifty-seven thousand, seven hundred ninety-two".