42105353320030 has 256 divisors, whose sum is σ = 107142282455040. Its totient is φ = 11473743052800.

The previous prime is 42105353320007. The next prime is 42105353320039. The reversal of 42105353320030 is 3002335350124.

42105353320030 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-2 number, since 2×42105353320030² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42105353319974 and 42105353320001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105353320039) 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 127 ways as a sum of consecutive naturals, for example, 817220670 + ... + 817272190.

It is an arithmetic number, because the mean of its divisors is an integer number (418524540840).

Almost surely, 2^{42105353320030} is an apocalyptic number.

42105353320030 is an abundant number, since it is smaller than the sum of its proper divisors (65036929135010).

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

42105353320030 is a wasteful number, since it uses less digits than its factorization.

42105353320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55875.

The product of its (nonzero) digits is 32400, while the sum is 31.

Adding to 42105353320030 its reverse (3002335350124), we get a palindrome (45107688670154).

The spelling of 42105353320030 in words is "forty-two trillion, one hundred five billion, three hundred fifty-three million, three hundred twenty thousand, thirty".