842340024531720 has 2816 divisors, whose sum is σ = 3424984412774400. Its totient is φ = 183763964805120.

The previous prime is 842340024531679. The next prime is 842340024531727. The reversal of 842340024531720 is 27135420043248.

842340024531720 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 40 + 0 + 2 + 4 + 531 + 72 + 0 = 666.

842340024531720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×842340024531720³ (a number of 46 digits) contains 333 as substring.

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 (842340024531727) by changing a digit.

It is a polite number, since it can be written in 703 ways as a sum of consecutive naturals, for example, 3131375555746 + ... + 3131375556014.

Almost surely, 2^{842340024531720} 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 842340024531720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712492206387200).

842340024531720 is an abundant number, since it is smaller than the sum of its proper divisors (2582644388242680).

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

842340024531720 is a wasteful number, since it uses less digits than its factorization.

842340024531720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

Adding to 842340024531720 its reverse (27135420043248), we get a palindrome (869475444574968).

The spelling of 842340024531720 in words is "eight hundred forty-two trillion, three hundred forty billion, twenty-four million, five hundred thirty-one thousand, seven hundred twenty".