42311313300320 has 192 divisors, whose sum is σ = 103586318567424. Its totient is φ = 16320905502720.

The previous prime is 42311313300247. The next prime is 42311313300343. The reversal of 42311313300320 is 2300331311324.

It is a super-2 number, since 2×42311313300320² (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 42311313300320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886801265 + ... + 886848975.

It is an arithmetic number, because the mean of its divisors is an integer number (539512075872).

Almost surely, 2^{42311313300320} is an apocalyptic number.

42311313300320 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 42311313300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793159283712).

42311313300320 is an abundant number, since it is smaller than the sum of its proper divisors (61275005267104).

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

42311313300320 is a wasteful number, since it uses less digits than its factorization.

42311313300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49405 (or 49397 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 42311313300320 its reverse (2300331311324), we get a palindrome (44611644611644).

The spelling of 42311313300320 in words is "forty-two trillion, three hundred eleven billion, three hundred thirteen million, three hundred thousand, three hundred twenty".