42311304113120 has 96 divisors (see below), whose sum is σ = 116176801305600. Its totient is φ = 14260855988736.

The previous prime is 42311304113119. The next prime is 42311304113129. The reversal of 42311304113120 is 2131140311324.

42311304113120 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 2×42311304113120² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42311304113120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311304113129) 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 15 ways as a sum of consecutive naturals, for example, 320086040 + ... + 320218199.

It is an arithmetic number, because the mean of its divisors is an integer number (1210175013600).

Almost surely, 2^{42311304113120} is an apocalyptic number.

42311304113120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42311304113120 is an abundant number, since it is smaller than the sum of its proper divisors (73865497192480).

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

42311304113120 is a wasteful number, since it uses less digits than its factorization.

42311304113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640304320 (or 640304312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 42311304113120 its reverse (2131140311324), we get a palindrome (44442444424444).

The spelling of 42311304113120 in words is "forty-two trillion, three hundred eleven billion, three hundred four million, one hundred thirteen thousand, one hundred twenty".