1442225104000 has 128 divisors (see below), whose sum is σ = 3589969808880. Its totient is φ = 576208281600.

The previous prime is 1442225103997. The next prime is 1442225104039. The reversal of 1442225104000 is 4015222441.

It can be written as a sum of positive squares in 8 ways, for example, as 8726549056 + 1433498554944 = 93416^2 + 1197288^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 13595164 + ... + 13700836.

Almost surely, 2^{1442225104000} is an apocalyptic number.

1442225104000 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 1442225104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794984904440).

1442225104000 is an abundant number, since it is smaller than the sum of its proper divisors (2147744704880).

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

1442225104000 is an equidigital number, since it uses as much as digits as its factorization.

1442225104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106555 (or 106533 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 1442225104000 in words is "one trillion, four hundred forty-two billion, two hundred twenty-five million, one hundred four thousand".