42344311344324 has 48 divisors (see below), whose sum is σ = 107802371320896. Its totient is φ = 12829603363200.

The previous prime is 42344311344323. The next prime is 42344311344353.

42344311344324 is nontrivially palindromic in base 10.

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 (42344311344323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24229087 + ... + 25917894.

It is an arithmetic number, because the mean of its divisors is an integer number (2245882735852).

Almost surely, 2^{42344311344324} is an apocalyptic number.

42344311344324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42344311344324 is an abundant number, since it is smaller than the sum of its proper divisors (65458059976572).

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

42344311344324 is a wasteful number, since it uses less digits than its factorization.

42344311344324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50153396 (or 50153394 counting only the distinct ones).

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

It can be divided in two parts, 4234431 and 1344324, that added together give a palindrome (5578755).

The spelling of 42344311344324 in words is "forty-two trillion, three hundred forty-four billion, three hundred eleven million, three hundred forty-four thousand, three hundred twenty-four".