1442828141800 has 48 divisors (see below), whose sum is σ = 3354692473440. Its totient is φ = 577111120320.

The previous prime is 1442828141749. The next prime is 1442828141803. The reversal of 1442828141800 is 81418282441.

It is not an unprimeable number, because it can be changed into a prime (1442828141803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6487239 + ... + 6705961.

It is an arithmetic number, because the mean of its divisors is an integer number (69889426530).

Almost surely, 2^{1442828141800} is an apocalyptic number.

1442828141800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442828141800 is an abundant number, since it is smaller than the sum of its proper divisors (1911864331640).

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

1442828141800 is a wasteful number, since it uses less digits than its factorization.

1442828141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251722 (or 251713 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 43.

The spelling of 1442828141800 in words is "one trillion, four hundred forty-two billion, eight hundred twenty-eight million, one hundred forty-one thousand, eight hundred".