34214433441243 has 32 divisors (see below), whose sum is σ = 49866943991040. Its totient is φ = 20694189411840.

The previous prime is 34214433441217. The next prime is 34214433441289.

34214433441243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34214433441243 - 2¹² = 34214433437147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34214433441195 and 34214433441204.

It is not an unprimeable number, because it can be changed into a prime (34214433442243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31960228 + ... + 33013406.

It is an arithmetic number, because the mean of its divisors is an integer number (1558341999720).

Almost surely, 2^{34214433441243} is an apocalyptic number.

34214433441243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34214433441243 is a deficient number, since it is larger than the sum of its proper divisors (15652510549797).

34214433441243 is a wasteful number, since it uses less digits than its factorization.

34214433441243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055179.

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

It can be divided in two parts, 3421443 and 3441243, that added together give a palindrome (6862686).

The spelling of 34214433441243 in words is "thirty-four trillion, two hundred fourteen billion, four hundred thirty-three million, four hundred forty-one thousand, two hundred forty-three".