42314344341324 has 192 divisors, whose sum is σ = 109563057934848. Its totient is φ = 12604336128000.

The previous prime is 42314344341323. The next prime is 42314344341361.

42314344341324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42314344341324² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42314344341323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718368274 + ... + 718427174.

It is an arithmetic number, because the mean of its divisors is an integer number (570640926744).

Almost surely, 2^{42314344341324} is an apocalyptic number.

42314344341324 is a gapful number since it is divisible by the number (44) 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 42314344341324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54781528967424).

42314344341324 is an abundant number, since it is smaller than the sum of its proper divisors (67248713593524).

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

42314344341324 is a wasteful number, since it uses less digits than its factorization.

42314344341324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59448 (or 59446 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4231434 and 4341324, that added together give a palindrome (8572758).

The spelling of 42314344341324 in words is "forty-two trillion, three hundred fourteen billion, three hundred forty-four million, three hundred forty-one thousand, three hundred twenty-four".