1442225710080 has 880 divisors, whose sum is σ = 5496035825280. Its totient is φ = 360611315712.

The previous prime is 1442225710069. The next prime is 1442225710091. The reversal of 1442225710080 is 800175222441.

1442225710080 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 2 + 2 + 571 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1442225710069) and next prime (1442225710091).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 811606152 + ... + 811607928.

It is an arithmetic number, because the mean of its divisors is an integer number (6245495256).

Almost surely, 2^{1442225710080} is an apocalyptic number.

1442225710080 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 1442225710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748017912640).

1442225710080 is an abundant number, since it is smaller than the sum of its proper divisors (4053810115200).

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

1442225710080 is a wasteful number, since it uses less digits than its factorization.

1442225710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 1442225710080 in words is "one trillion, four hundred forty-two billion, two hundred twenty-five million, seven hundred ten thousand, eighty".