42314433441324 has 96 divisors (see below), whose sum is σ = 110623575987456. Its totient is φ = 12475656910080.

The previous prime is 42314433441317. The next prime is 42314433441331.

42314433441324 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42314433441317) and next prime (42314433441331).

It is a super-2 number, since 2×42314433441324² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218574579 + ... + 218768085.

It is an arithmetic number, because the mean of its divisors is an integer number (1152328916536).

Almost surely, 2^{42314433441324} is an apocalyptic number.

42314433441324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42314433441324 is an abundant number, since it is smaller than the sum of its proper divisors (68309142546132).

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

42314433441324 is a wasteful number, since it uses less digits than its factorization.

42314433441324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238335 (or 238333 counting only the distinct ones).

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

It can be divided in two parts, 4231443 and 3441324, that added together give a palindrome (7672767).

The spelling of 42314433441324 in words is "forty-two trillion, three hundred fourteen billion, four hundred thirty-three million, four hundred forty-one thousand, three hundred twenty-four".