1442493820728 has 320 divisors, whose sum is σ = 4235479934400. Its totient is φ = 458082293760.

The previous prime is 1442493820687. The next prime is 1442493820753. The reversal of 1442493820728 is 8270283942441.

1442493820728 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 493 + 82 + 0 + 72 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 605834098 + ... + 605836478.

It is an arithmetic number, because the mean of its divisors is an integer number (13235874795).

Almost surely, 2^{1442493820728} is an apocalyptic number.

1442493820728 is a gapful number since it is divisible by the number (18) 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 1442493820728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117739967200).

1442493820728 is an abundant number, since it is smaller than the sum of its proper divisors (2792986113672).

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

1442493820728 is a wasteful number, since it uses less digits than its factorization.

1442493820728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1442493820728 in words is "one trillion, four hundred forty-two billion, four hundred ninety-three million, eight hundred twenty thousand, seven hundred twenty-eight".