1842753040128 has 1296 divisors, whose sum is σ = 7568011709440. Its totient is φ = 418455797760.

The previous prime is 1842753040087. The next prime is 1842753040129. The reversal of 1842753040128 is 8210403572481.

1842753040128 is a `hidden beast` number, since 1 + 84 + 27 + 530 + 4 + 0 + 12 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842753040129) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 482015625 + ... + 482019447.

Almost surely, 2^{1842753040128} is an apocalyptic number.

1842753040128 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 1842753040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784005854720).

1842753040128 is an abundant number, since it is smaller than the sum of its proper divisors (5725258669312).

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

1842753040128 is a wasteful number, since it uses less digits than its factorization.

1842753040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1842753040128 in words is "one trillion, eight hundred forty-two billion, seven hundred fifty-three million, forty thousand, one hundred twenty-eight".