34412300321443 has 16 divisors (see below), whose sum is σ = 38872575705600. Its totient is φ = 30176082226080.

The previous prime is 34412300321383. The next prime is 34412300321473.

34412300321443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34412300321443 - 2⁴¹ = 32213277065891 is a prime.

It is a super-2 number, since 2×34412300321443² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34412300321399 and 34412300321408.

It is not an unprimeable number, because it can be changed into a prime (34412300321473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51581721 + ... + 52244602.

It is an arithmetic number, because the mean of its divisors is an integer number (2429535981600).

Almost surely, 2^{34412300321443} is an apocalyptic number.

34412300321443 is a deficient number, since it is larger than the sum of its proper divisors (4460275384157).

34412300321443 is a wasteful number, since it uses less digits than its factorization.

34412300321443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103827402.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 34412300 and 321443, that added together give a palindrome (34733743).

The spelling of 34412300321443 in words is "thirty-four trillion, four hundred twelve billion, three hundred million, three hundred twenty-one thousand, four hundred forty-three".