10842483018240 has 1120 divisors, whose sum is σ = 43444262157120. Its totient is φ = 2577883594752.

The previous prime is 10842483018193. The next prime is 10842483018247. The reversal of 10842483018240 is 4281038424801.

10842483018240 is a `hidden beast` number, since 1 + 0 + 8 + 424 + 8 + 3 + 0 + 182 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10842483018247) 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 111 ways as a sum of consecutive naturals, for example, 602786527 + ... + 602804513.

Almost surely, 2^{10842483018240} is an apocalyptic number.

10842483018240 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 10842483018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21722131078560).

10842483018240 is an abundant number, since it is smaller than the sum of its proper divisors (32601779138880).

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

10842483018240 is an equidigital number, since it uses as much as digits as its factorization.

10842483018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18064 (or 18033 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 10842483018240 in words is "ten trillion, eight hundred forty-two billion, four hundred eighty-three million, eighteen thousand, two hundred forty".