1742938382208 has 128 divisors (see below), whose sum is σ = 4709227881600. Its totient is φ = 571001518080.

The previous prime is 1742938382201. The next prime is 1742938382221. The reversal of 1742938382208 is 8022838392471.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742938382201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180404898 + ... + 180414558.

It is an arithmetic number, because the mean of its divisors is an integer number (36790842825).

Almost surely, 2^{1742938382208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1742938382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354613940800).

1742938382208 is an abundant number, since it is smaller than the sum of its proper divisors (2966289499392).

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

1742938382208 is an equidigital number, since it uses as much as digits as its factorization.

1742938382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17700 (or 17688 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 1742938382208 in words is "one trillion, seven hundred forty-two billion, nine hundred thirty-eight million, three hundred eighty-two thousand, two hundred eight".