42836105394720 has 576 divisors, whose sum is σ = 171431694120960. Its totient is φ = 9628635801600.

The previous prime is 42836105394689. The next prime is 42836105394721. The reversal of 42836105394720 is 2749350163824.

42836105394720 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 61 + 0 + 539 + 47 + 2 + 0 = 666.

42836105394720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42836105394721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12630955 + ... + 15659285.

It is an arithmetic number, because the mean of its divisors is an integer number (297624468960).

It is a 1-persistent number, because it is pandigital, but 2⋅42836105394720 = 85672210789440 is not.

Almost surely, 2^{42836105394720} is an apocalyptic number.

42836105394720 is a gapful number since it is divisible by the number (40) 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 42836105394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85715847060480).

42836105394720 is an abundant number, since it is smaller than the sum of its proper divisors (128595588726240).

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

42836105394720 is a wasteful number, since it uses less digits than its factorization.

42836105394720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028429 (or 3028418 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 42836105394720 in words is "forty-two trillion, eight hundred thirty-six billion, one hundred five million, three hundred ninety-four thousand, seven hundred twenty".